Atkin-Lehner |
2- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
5824t |
Isogeny class |
Conductor |
5824 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-3579756544 = -1 · 214 · 75 · 13 |
Discriminant |
Eigenvalues |
2- 0 3 7+ -2 13- -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2336,-43552] |
[a1,a2,a3,a4,a6] |
Generators |
[13738237:43536257:226981] |
Generators of the group modulo torsion |
j |
-86044336128/218491 |
j-invariant |
L |
4.3614385585477 |
L(r)(E,1)/r! |
Ω |
0.34330907816728 |
Real period |
R |
12.704116599045 |
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 |
5824k1 1456e1 52416fo1 40768cm1 |
Quadratic twists by: -4 8 -3 -7 |