Atkin-Lehner |
2- 5+ 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
102410bk |
Isogeny class |
Conductor |
102410 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
4988928 |
Modular degree for the optimal curve |
Δ |
2.0213918118969E+20 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11+ 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6700588,6642555567] |
[a1,a2,a3,a4,a6] |
j |
282796582574037432321/1718154690560000 |
j-invariant |
L |
5.0226379130034 |
L(r)(E,1)/r! |
Ω |
0.17937992957353 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14630r1 |
Quadratic twists by: -7 |