Atkin-Lehner |
2- 3+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
37200bj |
Isogeny class |
Conductor |
37200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-808849716019200 = -1 · 232 · 35 · 52 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -2 4 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-80048,-8797248] |
[a1,a2,a3,a4,a6] |
j |
-553962845641945/7898923008 |
j-invariant |
L |
2.5523236501114 |
L(r)(E,1)/r! |
Ω |
0.14179575833926 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4650bl1 111600dv1 37200dq2 |
Quadratic twists by: -4 -3 5 |