Atkin-Lehner |
2+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
15008c |
Isogeny class |
Conductor |
15008 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2176 |
Modular degree for the optimal curve |
Δ |
30016 = 26 · 7 · 67 |
Discriminant |
Eigenvalues |
2+ -3 -1 7+ -2 5 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13,16] |
[a1,a2,a3,a4,a6] |
Generators |
[0:4:1] [1:2:1] |
Generators of the group modulo torsion |
j |
3796416/469 |
j-invariant |
L |
4.1845085204443 |
L(r)(E,1)/r! |
Ω |
3.5898158739461 |
Real period |
R |
0.58283052214651 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15008f1 30016bh1 105056h1 |
Quadratic twists by: -4 8 -7 |