Atkin-Lehner |
2+ 5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
24080b |
Isogeny class |
Conductor |
24080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
-385280000 = -1 · 211 · 54 · 7 · 43 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ 3 6 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-96,980] |
[a1,a2,a3,a4,a6] |
Generators |
[22:100:1] |
Generators of the group modulo torsion |
j |
-48275138/188125 |
j-invariant |
L |
5.9448231003578 |
L(r)(E,1)/r! |
Ω |
1.4762600259048 |
Real period |
R |
0.50336856279048 |
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 |
12040e1 96320bt1 120400j1 |
Quadratic twists by: -4 8 5 |