Atkin-Lehner |
2+ 3+ 7+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
18942b |
Isogeny class |
Conductor |
18942 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
397705218527232 = 212 · 37 · 74 · 11 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 11+ 0 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1202476,507029584] |
[a1,a2,a3,a4,a6] |
j |
192288595733743706204617/397705218527232 |
j-invariant |
L |
0.91766817470035 |
L(r)(E,1)/r! |
Ω |
0.45883408735018 |
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 |
56826w1 |
Quadratic twists by: -3 |