Atkin-Lehner |
2- 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
15008l |
Isogeny class |
Conductor |
15008 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2432 |
Modular degree for the optimal curve |
Δ |
-2011072 = -1 · 26 · 7 · 672 |
Discriminant |
Eigenvalues |
2- 2 2 7+ -4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-42,-112] |
[a1,a2,a3,a4,a6] |
Generators |
[54298:125412:4913] |
Generators of the group modulo torsion |
j |
-131096512/31423 |
j-invariant |
L |
7.3950469439001 |
L(r)(E,1)/r! |
Ω |
0.92412311548862 |
Real period |
R |
8.002231326061 |
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 |
15008e1 30016d1 105056p1 |
Quadratic twists by: -4 8 -7 |