Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122304fg |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7741440 |
Modular degree for the optimal curve |
Δ |
-2.4016124974929E+21 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -3 13+ 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18673377,-31141782783] |
[a1,a2,a3,a4,a6] |
Generators |
[91429232314217:14101520260085168:3716672149] |
Generators of the group modulo torsion |
j |
-38898423529252/129730653 |
j-invariant |
L |
6.7282048067749 |
L(r)(E,1)/r! |
Ω |
0.036305892579842 |
Real period |
R |
23.164988961429 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122304df1 30576bc1 122304gs1 |
Quadratic twists by: -4 8 -7 |