Atkin-Lehner |
7- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
73997g |
Isogeny class |
Conductor |
73997 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15120 |
Modular degree for the optimal curve |
Δ |
-62675459 = -1 · 72 · 113 · 312 |
Discriminant |
Eigenvalues |
0 -1 3 7- 11+ -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,21,372] |
[a1,a2,a3,a4,a6] |
Generators |
[10:38:1] |
Generators of the group modulo torsion |
j |
1015808/65219 |
j-invariant |
L |
5.4294460902891 |
L(r)(E,1)/r! |
Ω |
1.4994806714034 |
Real period |
R |
1.8104421733471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982207 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73997h1 |
Quadratic twists by: -31 |