Atkin-Lehner |
2+ 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
24400g |
Isogeny class |
Conductor |
24400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
30500000000 = 28 · 59 · 61 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 -6 4 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2375,43750] |
[a1,a2,a3,a4,a6] |
Generators |
[9:152:1] [21:56:1] |
Generators of the group modulo torsion |
j |
2963088/61 |
j-invariant |
L |
7.5316837592503 |
L(r)(E,1)/r! |
Ω |
1.1742988495001 |
Real period |
R |
6.413770874813 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12200c1 97600co1 24400h1 |
Quadratic twists by: -4 8 5 |