Atkin-Lehner |
2- 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
31600f |
Isogeny class |
Conductor |
31600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
195031250000 = 24 · 59 · 792 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 -4 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1700,-16625] |
[a1,a2,a3,a4,a6] |
j |
2173353984/780125 |
j-invariant |
L |
0.76567131664941 |
L(r)(E,1)/r! |
Ω |
0.7656713166497 |
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 |
7900b1 126400bh1 6320e1 |
Quadratic twists by: -4 8 5 |