Atkin-Lehner |
2- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
49600cn |
Isogeny class |
Conductor |
49600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-396800000000 = -1 · 215 · 58 · 31 |
Discriminant |
Eigenvalues |
2- 0 5- -1 -3 -3 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,500,-30000] |
[a1,a2,a3,a4,a6] |
Generators |
[26:24:1] |
Generators of the group modulo torsion |
j |
1080/31 |
j-invariant |
L |
4.3146639919269 |
L(r)(E,1)/r! |
Ω |
0.45803703688672 |
Real period |
R |
2.3549754956857 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999724 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49600cs1 24800g1 49600bl1 |
Quadratic twists by: -4 8 5 |