Atkin-Lehner |
2+ 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
124950bw |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
161935200 |
Modular degree for the optimal curve |
Δ |
3.0956461628019E+29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 3 4 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1888433075,-16767350377875] |
[a1,a2,a3,a4,a6] |
Generators |
[-17289546920365661273823229370127126664454271266968833352933331305037000684696267780425488266280015476443086091403719113897290559353:1598633818941958439113855585731842610491229671527880225609953531794868393736671386309945988539503150164750720418612297264627948088420:520659476927067874274229449073583906621468439656366935139722910031323335819090168024874488145969707364743770990336517554455183] |
Generators of the group modulo torsion |
j |
16206164115169540524745/6736014906011025408 |
j-invariant |
L |
4.8414147378328 |
L(r)(E,1)/r! |
Ω |
0.023760115976585 |
Real period |
R |
203.76225194372 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124950ij1 2550o1 |
Quadratic twists by: 5 -7 |