Atkin-Lehner |
3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
37485br |
Isogeny class |
Conductor |
37485 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
16074715228425 = 38 · 52 · 78 · 17 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1722114,870273823] |
[a1,a2,a3,a4,a6] |
Generators |
[1020162:-1054241:1331] |
Generators of the group modulo torsion |
j |
6585576176607121/187425 |
j-invariant |
L |
8.2905971087567 |
L(r)(E,1)/r! |
Ω |
0.50932856115128 |
Real period |
R |
8.1387514279749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12495b1 5355f1 |
Quadratic twists by: -3 -7 |