Atkin-Lehner |
2- 3+ 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
30660h |
Isogeny class |
Conductor |
30660 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1696800 |
Modular degree for the optimal curve |
Δ |
5.4120559928172E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -5 2 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6455426,6215132301] |
[a1,a2,a3,a4,a6] |
j |
1859424367241113634723584/33825349955107265625 |
j-invariant |
L |
0.16450508149585 |
L(r)(E,1)/r! |
Ω |
0.16450508149729 |
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 |
122640cf1 91980bm1 |
Quadratic twists by: -4 -3 |