Atkin-Lehner |
2- 3- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
94302bv |
Isogeny class |
Conductor |
94302 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
2515968 |
Modular degree for the optimal curve |
Δ |
63710318236765824 = 27 · 39 · 138 · 31 |
Discriminant |
Eigenvalues |
2- 3- 1 1 -2 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10297202,-12715657743] |
[a1,a2,a3,a4,a6] |
Generators |
[-231455:121767:125] |
Generators of the group modulo torsion |
j |
203051883774649/107136 |
j-invariant |
L |
11.739269080303 |
L(r)(E,1)/r! |
Ω |
0.084279075628816 |
Real period |
R |
4.9746583822225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997127 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31434b1 94302u1 |
Quadratic twists by: -3 13 |