Atkin-Lehner |
3- 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
76725m |
Isogeny class |
Conductor |
76725 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2682139362890625 = 310 · 58 · 112 · 312 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11+ -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-105192,-12866909] |
[a1,a2,a3,a4,a6] |
j |
11301253512121/235469025 |
j-invariant |
L |
1.061729565114 |
L(r)(E,1)/r! |
Ω |
0.26543239011389 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
25575d2 15345b2 |
Quadratic twists by: -3 5 |