Atkin-Lehner |
2+ 3+ 5+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
67650h |
Isogeny class |
Conductor |
67650 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
4325376 |
Modular degree for the optimal curve |
Δ |
5.08580015625E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-17036000,27055200000] |
[a1,a2,a3,a4,a6] |
j |
34995050144226882178561/3254912100000000 |
j-invariant |
L |
1.5318984840604 |
L(r)(E,1)/r! |
Ω |
0.19148730906323 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13530w1 |
Quadratic twists by: 5 |