Atkin-Lehner |
3- 5+ 29+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
76995g |
Isogeny class |
Conductor |
76995 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
151552 |
Modular degree for the optimal curve |
Δ |
-12320449551855 = -1 · 310 · 5 · 294 · 59 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1957,165066] |
[a1,a2,a3,a4,a6] |
Generators |
[246:3812:1] |
Generators of the group modulo torsion |
j |
1137566234519/16900479495 |
j-invariant |
L |
2.9899097286183 |
L(r)(E,1)/r! |
Ω |
0.52868745831781 |
Real period |
R |
5.6553445336377 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004073 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25665h1 |
Quadratic twists by: -3 |