Atkin-Lehner |
2- 3- 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
24102bh |
Isogeny class |
Conductor |
24102 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
151200 |
Modular degree for the optimal curve |
Δ |
-367560394441344 = -1 · 27 · 36 · 135 · 1032 |
Discriminant |
Eigenvalues |
2- 3- 3 -3 -4 13- -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-31586,-2341407] |
[a1,a2,a3,a4,a6] |
Generators |
[1077:34275:1] |
Generators of the group modulo torsion |
j |
-4780432459339993/504198071936 |
j-invariant |
L |
8.5794697689922 |
L(r)(E,1)/r! |
Ω |
0.17799821803914 |
Real period |
R |
0.68856786990866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2678e1 |
Quadratic twists by: -3 |