Atkin-Lehner |
2+ 5- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
69680g |
Isogeny class |
Conductor |
69680 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
112640 |
Modular degree for the optimal curve |
Δ |
-18253691446640 = -1 · 24 · 5 · 132 · 675 |
Discriminant |
Eigenvalues |
2+ 1 5- 3 -2 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-820,205483] |
[a1,a2,a3,a4,a6] |
Generators |
[4245:58357:125] |
Generators of the group modulo torsion |
j |
-3815705134336/1140855715415 |
j-invariant |
L |
8.2722893386399 |
L(r)(E,1)/r! |
Ω |
0.56077132970671 |
Real period |
R |
1.4751626732663 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000517 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34840e1 |
Quadratic twists by: -4 |