Atkin-Lehner |
2- 3- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
15168q |
Isogeny class |
Conductor |
15168 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-20129513472 = -1 · 220 · 35 · 79 |
Discriminant |
Eigenvalues |
2- 3- 2 1 -5 1 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-417,-7713] |
[a1,a2,a3,a4,a6] |
Generators |
[39:192:1] |
Generators of the group modulo torsion |
j |
-30664297/76788 |
j-invariant |
L |
6.6910634373301 |
L(r)(E,1)/r! |
Ω |
0.49190264607752 |
Real period |
R |
0.68012069976502 |
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 |
15168b1 3792d1 45504bm1 |
Quadratic twists by: -4 8 -3 |