Atkin-Lehner |
2+ 3+ 7+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
33936a |
Isogeny class |
Conductor |
33936 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
117760 |
Modular degree for the optimal curve |
Δ |
3665777036544 = 28 · 310 · 74 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7+ 6 -3 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14337,-649539] |
[a1,a2,a3,a4,a6] |
j |
1273177321243648/14319441549 |
j-invariant |
L |
1.7463755017257 |
L(r)(E,1)/r! |
Ω |
0.43659387543152 |
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 |
16968a1 101808e1 |
Quadratic twists by: -4 -3 |