Atkin-Lehner |
2+ 3- 5+ 23- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
122130q |
Isogeny class |
Conductor |
122130 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
279936 |
Modular degree for the optimal curve |
Δ |
-194714667990 = -1 · 2 · 315 · 5 · 23 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -5 -1 -2 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5175,146155] |
[a1,a2,a3,a4,a6] |
Generators |
[71:329:1] |
Generators of the group modulo torsion |
j |
-21026861362801/267098310 |
j-invariant |
L |
2.3185631524383 |
L(r)(E,1)/r! |
Ω |
1.0100364938038 |
Real period |
R |
0.57388103418111 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008364 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40710y1 |
Quadratic twists by: -3 |