Atkin-Lehner |
2- 3- 7+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
76986bc |
Isogeny class |
Conductor |
76986 |
Conductor |
∏ cp |
76 |
Product of Tamagawa factors cp |
deg |
1050624 |
Modular degree for the optimal curve |
Δ |
-101646960884711424 = -1 · 219 · 39 · 73 · 13 · 472 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ -3 13- 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-198608,-37312077] |
[a1,a2,a3,a4,a6] |
Generators |
[989:-27567:1] |
Generators of the group modulo torsion |
j |
-1188459394300334521/139433416851456 |
j-invariant |
L |
8.9093374613329 |
L(r)(E,1)/r! |
Ω |
0.11233575641212 |
Real period |
R |
1.0435512984224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002397 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25662a1 |
Quadratic twists by: -3 |