Atkin-Lehner |
2+ 3+ 13- 79- |
Signs for the Atkin-Lehner involutions |
Class |
6162d |
Isogeny class |
Conductor |
6162 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-60913248374784 = -1 · 212 · 3 · 137 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ -1 0 0 13- 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,6977,304069] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:425:1] |
Generators of the group modulo torsion |
j |
37551960647058311/60913248374784 |
j-invariant |
L |
2.3709469660704 |
L(r)(E,1)/r! |
Ω |
0.42555540683696 |
Real period |
R |
0.39795841387158 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49296bd1 18486y1 80106v1 |
Quadratic twists by: -4 -3 13 |