Atkin-Lehner |
2- 3- 7- 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
33306t |
Isogeny class |
Conductor |
33306 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
88128 |
Modular degree for the optimal curve |
Δ |
-3116303733816 = -1 · 23 · 33 · 72 · 136 · 61 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 6 13- -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-32,-84936] |
[a1,a2,a3,a4,a6] |
j |
-3630961153/3116303733816 |
j-invariant |
L |
4.3882859718339 |
L(r)(E,1)/r! |
Ω |
0.36569049765264 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
99918p1 |
Quadratic twists by: -3 |