Atkin-Lehner |
2+ 3- 5+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
20130g |
Isogeny class |
Conductor |
20130 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-17259290492400 = -1 · 24 · 312 · 52 · 113 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11- -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3169,211076] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:443:1] [-41:542:1] |
Generators of the group modulo torsion |
j |
-3517980380680969/17259290492400 |
j-invariant |
L |
5.7319125756839 |
L(r)(E,1)/r! |
Ω |
0.60097937816754 |
Real period |
R |
2.3844048497805 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
60390bf1 100650bv1 |
Quadratic twists by: -3 5 |