Atkin-Lehner |
2+ 3- 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
40698u |
Isogeny class |
Conductor |
40698 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
15511114541412 = 22 · 36 · 74 · 17 · 194 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 2 2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9819,325489] |
[a1,a2,a3,a4,a6] |
Generators |
[-97:647:1] |
Generators of the group modulo torsion |
j |
143622619359409/21277249028 |
j-invariant |
L |
3.2875582401976 |
L(r)(E,1)/r! |
Ω |
0.67027063756632 |
Real period |
R |
0.30655138163063 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4522h1 |
Quadratic twists by: -3 |