Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
79350bg |
Isogeny class |
Conductor |
79350 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1216512 |
Modular degree for the optimal curve |
Δ |
-766085725575000000 = -1 · 26 · 32 · 58 · 237 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 2 6 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,52624,-41849602] |
[a1,a2,a3,a4,a6] |
Generators |
[1251513:51480379:729] |
Generators of the group modulo torsion |
j |
6967871/331200 |
j-invariant |
L |
5.8724441932497 |
L(r)(E,1)/r! |
Ω |
0.13603486081386 |
Real period |
R |
5.3960839155733 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999967482 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15870bc1 3450h1 |
Quadratic twists by: 5 -23 |