Atkin-Lehner |
2- 3+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
33396h |
Isogeny class |
Conductor |
33396 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
104544 |
Modular degree for the optimal curve |
Δ |
-2902784594688 = -1 · 28 · 311 · 112 · 232 |
Discriminant |
Eigenvalues |
2- 3+ -4 3 11- 2 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1085,83481] |
[a1,a2,a3,a4,a6] |
j |
-4564443136/93710763 |
j-invariant |
L |
1.3510833316695 |
L(r)(E,1)/r! |
Ω |
0.67554166584348 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100188y1 33396i1 |
Quadratic twists by: -3 -11 |