Atkin-Lehner |
2- 5- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
2990i |
Isogeny class |
Conductor |
2990 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3200 |
Modular degree for the optimal curve |
Δ |
683179120 = 24 · 5 · 135 · 23 |
Discriminant |
Eigenvalues |
2- 3 5- 3 -2 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-642,6289] |
[a1,a2,a3,a4,a6] |
j |
29220958012401/683179120 |
j-invariant |
L |
6.4380283521024 |
L(r)(E,1)/r! |
Ω |
1.6095070880256 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23920o1 95680n1 26910j1 14950g1 |
Quadratic twists by: -4 8 -3 5 |