Atkin-Lehner |
3- 7+ 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
71757f |
Isogeny class |
Conductor |
71757 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1479168 |
Modular degree for the optimal curve |
Δ |
150412253483233413 = 36 · 79 · 17 · 673 |
Discriminant |
Eigenvalues |
-2 3- 2 7+ -3 -5 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-664569,-207688516] |
[a1,a2,a3,a4,a6] |
j |
44526280793221804032/206326822336397 |
j-invariant |
L |
0.33451498723134 |
L(r)(E,1)/r! |
Ω |
0.16725751392763 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7973f1 |
Quadratic twists by: -3 |