Atkin-Lehner |
2- 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
95830s |
Isogeny class |
Conductor |
95830 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
69984 |
Modular degree for the optimal curve |
Δ |
-17373979000 = -1 · 23 · 53 · 73 · 373 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 0 -3 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,619,-1997] |
[a1,a2,a3,a4,a6] |
Generators |
[183:1264:27] |
Generators of the group modulo torsion |
j |
517781627/343000 |
j-invariant |
L |
13.697406449303 |
L(r)(E,1)/r! |
Ω |
0.70092879252297 |
Real period |
R |
3.2569657584258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999936124 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95830k1 |
Quadratic twists by: 37 |