Atkin-Lehner |
2+ 5- 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
10030g |
Isogeny class |
Conductor |
10030 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
78848 |
Modular degree for the optimal curve |
Δ |
-12537500000000000 = -1 · 211 · 514 · 17 · 59 |
Discriminant |
Eigenvalues |
2+ -1 5- 2 -2 3 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-99862,-13329196] |
[a1,a2,a3,a4,a6] |
Generators |
[1183:38471:1] |
Generators of the group modulo torsion |
j |
-110136503906569060201/12537500000000000 |
j-invariant |
L |
2.9679378121808 |
L(r)(E,1)/r! |
Ω |
0.13342764774852 |
Real period |
R |
1.5888428042476 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80240v1 90270v1 50150u1 |
Quadratic twists by: -4 -3 5 |