Atkin-Lehner |
2+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
30926c |
Isogeny class |
Conductor |
30926 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11128320 |
Modular degree for the optimal curve |
Δ |
-4.4799292518784E+26 |
Discriminant |
Eigenvalues |
2+ -1 1 7+ -1 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-258471822,-1896216501452] |
[a1,a2,a3,a4,a6] |
j |
-177164286626930705929/41560810459234304 |
j-invariant |
L |
0.074380690136197 |
L(r)(E,1)/r! |
Ω |
0.018595172534752 |
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 |
658a1 |
Quadratic twists by: -47 |