Atkin-Lehner |
2- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
15008n |
Isogeny class |
Conductor |
15008 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-658911232 = -1 · 212 · 74 · 67 |
Discriminant |
Eigenvalues |
2- -2 0 7- 2 -6 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-253,1899] |
[a1,a2,a3,a4,a6] |
Generators |
[5:28:1] |
Generators of the group modulo torsion |
j |
-438976000/160867 |
j-invariant |
L |
3.1126319873466 |
L(r)(E,1)/r! |
Ω |
1.5217737717542 |
Real period |
R |
0.25567466442125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15008b1 30016bb1 105056k1 |
Quadratic twists by: -4 8 -7 |