Atkin-Lehner |
2- 3- 11- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
34782bi |
Isogeny class |
Conductor |
34782 |
Conductor |
∏ cp |
546 |
Product of Tamagawa factors cp |
deg |
349440 |
Modular degree for the optimal curve |
Δ |
102947864199561216 = 226 · 37 · 113 · 17 · 31 |
Discriminant |
Eigenvalues |
2- 3- -1 -2 11- 5 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-126616,-7910848] |
[a1,a2,a3,a4,a6] |
Generators |
[-304:1736:1] |
Generators of the group modulo torsion |
j |
224486223824474011009/102947864199561216 |
j-invariant |
L |
9.9100499812362 |
L(r)(E,1)/r! |
Ω |
0.26438006114419 |
Real period |
R |
0.068652207024833 |
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 |
104346j1 |
Quadratic twists by: -3 |