Atkin-Lehner |
2+ 3- 11+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
34782k |
Isogeny class |
Conductor |
34782 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
375334814350983168 = 214 · 33 · 11 · 174 · 314 |
Discriminant |
Eigenvalues |
2+ 3- 4 2 11+ 4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-475784,-122869546] |
[a1,a2,a3,a4,a6] |
j |
11911100788358217057529/375334814350983168 |
j-invariant |
L |
4.3711574222191 |
L(r)(E,1)/r! |
Ω |
0.18213155925915 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104346cb1 |
Quadratic twists by: -3 |