Atkin-Lehner |
2- 3- 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
46350cg |
Isogeny class |
Conductor |
46350 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
777600 |
Modular degree for the optimal curve |
Δ |
-192222720000000000 = -1 · 218 · 36 · 510 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5+ 5 -4 3 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,92695,-18105303] |
[a1,a2,a3,a4,a6] |
j |
12372841775/27000832 |
j-invariant |
L |
5.9562823260932 |
L(r)(E,1)/r! |
Ω |
0.16545228683801 |
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 |
5150c1 46350bc1 |
Quadratic twists by: -3 5 |