Atkin-Lehner |
2- 5+ 31- 47- |
Signs for the Atkin-Lehner involutions |
Class |
116560n |
Isogeny class |
Conductor |
116560 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
422400 |
Modular degree for the optimal curve |
Δ |
-125155347005440 = -1 · 234 · 5 · 31 · 47 |
Discriminant |
Eigenvalues |
2- 0 5+ 5 4 2 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4837,522442] |
[a1,a2,a3,a4,a6] |
j |
3055568514831/30555504640 |
j-invariant |
L |
3.4517807972607 |
L(r)(E,1)/r! |
Ω |
0.43147265817466 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14570g1 |
Quadratic twists by: -4 |