Atkin-Lehner |
2- 5- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
47840g |
Isogeny class |
Conductor |
47840 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
3827200000 = 212 · 55 · 13 · 23 |
Discriminant |
Eigenvalues |
2- -1 5- -1 -2 13+ -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-625,-5023] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:-20:1] [-16:25:1] |
Generators of the group modulo torsion |
j |
6602349376/934375 |
j-invariant |
L |
8.1551806863506 |
L(r)(E,1)/r! |
Ω |
0.9637022453043 |
Real period |
R |
0.42311724010648 |
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 |
47840f1 95680bn1 |
Quadratic twists by: -4 8 |