Atkin-Lehner |
2- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
40768dx |
Isogeny class |
Conductor |
40768 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
143360 |
Modular degree for the optimal curve |
Δ |
-33574201024 = -1 · 26 · 79 · 13 |
Discriminant |
Eigenvalues |
2- 2 3 7- 2 13- 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-128739,-17736403] |
[a1,a2,a3,a4,a6] |
j |
-91368216064/13 |
j-invariant |
L |
6.3010328775588 |
L(r)(E,1)/r! |
Ω |
0.12602065755068 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40768ec1 20384l1 40768da1 |
Quadratic twists by: -4 8 -7 |