Atkin-Lehner |
3- 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
76725n |
Isogeny class |
Conductor |
76725 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
240335068359375 = 38 · 510 · 112 · 31 |
Discriminant |
Eigenvalues |
1 3- 5+ 2 11+ 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-41067,3125466] |
[a1,a2,a3,a4,a6] |
j |
672451615081/21099375 |
j-invariant |
L |
4.4261555598216 |
L(r)(E,1)/r! |
Ω |
0.5532694448956 |
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 |
25575l2 15345c2 |
Quadratic twists by: -3 5 |