Atkin-Lehner |
2- 3- 5- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
49770bz |
Isogeny class |
Conductor |
49770 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
5488174082790000 = 24 · 310 · 54 · 76 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 -2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-46202,1392329] |
[a1,a2,a3,a4,a6] |
Generators |
[-153:2281:1] |
Generators of the group modulo torsion |
j |
14961312653795929/7528359510000 |
j-invariant |
L |
10.203708514372 |
L(r)(E,1)/r! |
Ω |
0.37907573158535 |
Real period |
R |
0.28038890781303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000038 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16590i2 |
Quadratic twists by: -3 |