Atkin-Lehner |
2- 3- 5+ 19- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
33630m |
Isogeny class |
Conductor |
33630 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
2300292000000 = 28 · 33 · 56 · 192 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-518656,-143812864] |
[a1,a2,a3,a4,a6] |
j |
15429859924657543815169/2300292000000 |
j-invariant |
L |
4.2696369114186 |
L(r)(E,1)/r! |
Ω |
0.17790153797589 |
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 |
100890m1 |
Quadratic twists by: -3 |