Atkin-Lehner |
2+ 3+ 5+ 31- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
34410c |
Isogeny class |
Conductor |
34410 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
193556250000 = 24 · 33 · 58 · 31 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1478,4932] |
[a1,a2,a3,a4,a6] |
j |
357442391663209/193556250000 |
j-invariant |
L |
0.87856141793865 |
L(r)(E,1)/r! |
Ω |
0.8785614179354 |
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 |
103230be1 |
Quadratic twists by: -3 |