Atkin-Lehner |
2+ 3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
72450bg |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-4159263937500 = -1 · 22 · 310 · 56 · 72 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -2 -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3933,23841] |
[a1,a2,a3,a4,a6] |
Generators |
[48:-591:1] |
Generators of the group modulo torsion |
j |
590589719/365148 |
j-invariant |
L |
4.0082985503706 |
L(r)(E,1)/r! |
Ω |
0.48187859190954 |
Real period |
R |
1.0397584102731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002551 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24150cd1 2898s1 |
Quadratic twists by: -3 5 |