Atkin-Lehner |
5- 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
24745g |
Isogeny class |
Conductor |
24745 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
14720 |
Modular degree for the optimal curve |
Δ |
-10934196875 = -1 · 55 · 73 · 1012 |
Discriminant |
Eigenvalues |
0 1 5- 7- -5 -1 -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,495,2881] |
[a1,a2,a3,a4,a6] |
Generators |
[75:1754:27] [170:1221:8] |
Generators of the group modulo torsion |
j |
39027212288/31878125 |
j-invariant |
L |
7.7660651074317 |
L(r)(E,1)/r! |
Ω |
0.82620623935685 |
Real period |
R |
0.46998344586928 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123725k1 24745a1 |
Quadratic twists by: 5 -7 |