Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968w |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
26400283886592 = 210 · 33 · 72 · 117 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11- -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-64251,-6263686] |
[a1,a2,a3,a4,a6] |
Generators |
[-149:42:1] |
Generators of the group modulo torsion |
j |
598885164/539 |
j-invariant |
L |
4.2663909304896 |
L(r)(E,1)/r! |
Ω |
0.29988382889419 |
Real period |
R |
1.7783515291469 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011828 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60984f1 121968u1 11088c1 |
Quadratic twists by: -4 -3 -11 |