Atkin-Lehner |
3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
76725x |
Isogeny class |
Conductor |
76725 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-417248382568359375 = -1 · 36 · 516 · 112 · 31 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 11- 4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-216792,-49698509] |
[a1,a2,a3,a4,a6] |
j |
-98925223576249/36630859375 |
j-invariant |
L |
1.7378978786677 |
L(r)(E,1)/r! |
Ω |
0.10861861959384 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8525a1 15345l1 |
Quadratic twists by: -3 5 |