Atkin-Lehner |
3- 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
74025q |
Isogeny class |
Conductor |
74025 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
-131163046875 = -1 · 36 · 57 · 72 · 47 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- -4 1 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1200,23656] |
[a1,a2,a3,a4,a6] |
Generators |
[20:-88:1] [-190:1571:8] |
Generators of the group modulo torsion |
j |
-16777216/11515 |
j-invariant |
L |
8.9825729942947 |
L(r)(E,1)/r! |
Ω |
0.95911594555531 |
Real period |
R |
0.58534196490218 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000055 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8225a1 14805c1 |
Quadratic twists by: -3 5 |