Atkin-Lehner |
2+ 5- 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
7670c |
Isogeny class |
Conductor |
7670 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-1.8242815453083E+20 |
Discriminant |
Eigenvalues |
2+ -2 5- -3 -5 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1499733,960093728] |
[a1,a2,a3,a4,a6] |
j |
-373048363475306556254281/182428154530826813440 |
j-invariant |
L |
0.33560189431511 |
L(r)(E,1)/r! |
Ω |
0.16780094715755 |
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 |
61360p1 69030bk1 38350y1 99710y1 |
Quadratic twists by: -4 -3 5 13 |