Atkin-Lehner |
2- 3+ 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
114708f |
Isogeny class |
Conductor |
114708 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
458832 = 24 · 3 · 112 · 79 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 11- 1 -7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-29,-42] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:3:1] [-2:2:1] |
Generators of the group modulo torsion |
j |
1441792/237 |
j-invariant |
L |
8.3394519046724 |
L(r)(E,1)/r! |
Ω |
2.0743127579669 |
Real period |
R |
1.3401148356777 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002772 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114708b1 |
Quadratic twists by: -11 |