Atkin-Lehner |
2- 3- 5+ 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
76590bz |
Isogeny class |
Conductor |
76590 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
1146553448850000 = 24 · 39 · 55 · 23 · 373 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -5 -5 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-35213,-1944219] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:366:1] |
Generators of the group modulo torsion |
j |
6623593959083401/1572775650000 |
j-invariant |
L |
8.6473237050208 |
L(r)(E,1)/r! |
Ω |
0.35451365312886 |
Real period |
R |
1.0163364686465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001885 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25530g1 |
Quadratic twists by: -3 |