Atkin-Lehner |
2- 3- 5- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
115440di |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
797824820183040 = 224 · 32 · 5 · 134 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 13- 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-58240,5216948] |
[a1,a2,a3,a4,a6] |
j |
5333782719807361/194781450240 |
j-invariant |
L |
3.9961944321346 |
L(r)(E,1)/r! |
Ω |
0.49952438460951 |
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 |
14430bf1 |
Quadratic twists by: -4 |