Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122694bg |
Isogeny class |
Conductor |
122694 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2166912 |
Modular degree for the optimal curve |
Δ |
-335232877837196196 = -1 · 22 · 34 · 118 · 136 |
Discriminant |
Eigenvalues |
2+ 3- 1 -4 11- 13+ 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-276488,-62531350] |
[a1,a2,a3,a4,a6] |
Generators |
[615:55:1] |
Generators of the group modulo torsion |
j |
-2259169/324 |
j-invariant |
L |
6.1064709942503 |
L(r)(E,1)/r! |
Ω |
0.10327921645184 |
Real period |
R |
2.4635768860359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038062 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122694cz1 726i1 |
Quadratic twists by: -11 13 |