Atkin-Lehner |
5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
74725t |
Isogeny class |
Conductor |
74725 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
14016775390625 = 59 · 76 · 61 |
Discriminant |
Eigenvalues |
1 -2 5- 7- 0 -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9826,-329577] |
[a1,a2,a3,a4,a6] |
j |
456533/61 |
j-invariant |
L |
0.96752249284145 |
L(r)(E,1)/r! |
Ω |
0.48376125084565 |
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 |
74725u1 1525b1 |
Quadratic twists by: 5 -7 |