Atkin-Lehner |
2- 3+ 7+ 11+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
115038v |
Isogeny class |
Conductor |
115038 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
2047680 |
Modular degree for the optimal curve |
Δ |
-6496164238737406464 = -1 · 29 · 39 · 7 · 115 · 833 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 11+ -1 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,271672,109781515] |
[a1,a2,a3,a4,a6] |
Generators |
[-263:4613:1] |
Generators of the group modulo torsion |
j |
112659691647301317/330039335403008 |
j-invariant |
L |
8.4493552366378 |
L(r)(E,1)/r! |
Ω |
0.16725043715806 |
Real period |
R |
0.93554039929062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000042106 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115038c1 |
Quadratic twists by: -3 |