Atkin-Lehner |
2- 3- 5+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
20130q |
Isogeny class |
Conductor |
20130 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
-801438105600 = -1 · 216 · 36 · 52 · 11 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- -4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11506,476036] |
[a1,a2,a3,a4,a6] |
Generators |
[68:-130:1] |
Generators of the group modulo torsion |
j |
-168460924702913569/801438105600 |
j-invariant |
L |
8.7369988495208 |
L(r)(E,1)/r! |
Ω |
0.89914913654431 |
Real period |
R |
0.20243672819903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60390m1 100650h1 |
Quadratic twists by: -3 5 |