Atkin-Lehner |
2+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
38080j |
Isogeny class |
Conductor |
38080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
187087040 = 26 · 5 · 7 · 174 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 0 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-143,12] |
[a1,a2,a3,a4,a6] |
Generators |
[24:102:1] |
Generators of the group modulo torsion |
j |
5053029696/2923235 |
j-invariant |
L |
5.1253058284734 |
L(r)(E,1)/r! |
Ω |
1.5201678025586 |
Real period |
R |
3.3715395233641 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38080d1 19040f2 |
Quadratic twists by: -4 8 |