Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680cw |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
2064384 |
Modular degree for the optimal curve |
Δ |
-3161802393884160000 = -1 · 212 · 39 · 54 · 137 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -4 13+ -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-588627,-193735854] |
[a1,a2,a3,a4,a6] |
Generators |
[2857:146440:1] |
Generators of the group modulo torsion |
j |
-57960603/8125 |
j-invariant |
L |
7.5405826492871 |
L(r)(E,1)/r! |
Ω |
0.085515225381079 |
Real period |
R |
5.5111405087558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998486566 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7605f1 121680ci1 9360x1 |
Quadratic twists by: -4 -3 13 |