Atkin-Lehner |
2- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
7600q |
Isogeny class |
Conductor |
7600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
101813281250000 = 24 · 511 · 194 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 0 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23033,-1247188] |
[a1,a2,a3,a4,a6] |
Generators |
[277464:28122850:27] |
Generators of the group modulo torsion |
j |
5405726654464/407253125 |
j-invariant |
L |
5.9383894683033 |
L(r)(E,1)/r! |
Ω |
0.38938070888509 |
Real period |
R |
7.6254284467594 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1900a1 30400bi1 68400fg1 1520i1 |
Quadratic twists by: -4 8 -3 5 |