Atkin-Lehner |
2+ 3+ 5+ 23- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
122130c |
Isogeny class |
Conductor |
122130 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
44032 |
Modular degree for the optimal curve |
Δ |
-366390000 = -1 · 24 · 33 · 54 · 23 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -4 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15,925] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:29:1] [2:29:1] |
Generators of the group modulo torsion |
j |
-14348907/13570000 |
j-invariant |
L |
7.3809435415577 |
L(r)(E,1)/r! |
Ω |
1.3707825055468 |
Real period |
R |
2.6922372867816 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999992624 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122130bj1 |
Quadratic twists by: -3 |