Atkin-Lehner |
2- 3+ 5- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
70380p |
Isogeny class |
Conductor |
70380 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
67564800 = 28 · 33 · 52 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 -4 -7 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-312,2084] |
[a1,a2,a3,a4,a6] |
Generators |
[13:15:1] [4:30:1] |
Generators of the group modulo torsion |
j |
485941248/9775 |
j-invariant |
L |
11.035795704359 |
L(r)(E,1)/r! |
Ω |
1.9547429564849 |
Real period |
R |
0.47047088159531 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70380b1 |
Quadratic twists by: -3 |