Atkin-Lehner |
2+ 3+ 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
24150c |
Isogeny class |
Conductor |
24150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-8062467840000000 = -1 · 214 · 35 · 57 · 72 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -6 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,6475,4318125] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:2030:1] |
Generators of the group modulo torsion |
j |
1920959458991/515997941760 |
j-invariant |
L |
2.5720861166415 |
L(r)(E,1)/r! |
Ω |
0.32137571539028 |
Real period |
R |
1.000420222137 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72450dz1 4830bf1 |
Quadratic twists by: -3 5 |