Atkin-Lehner |
2- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
62192h |
Isogeny class |
Conductor |
62192 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-51949491200442368 = -1 · 214 · 1310 · 23 |
Discriminant |
Eigenvalues |
2- 0 0 0 -2 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-303355,-65237718] |
[a1,a2,a3,a4,a6] |
Generators |
[653:3888:1] [17823:127088:27] |
Generators of the group modulo torsion |
j |
-156155441625/2627612 |
j-invariant |
L |
9.7190399239361 |
L(r)(E,1)/r! |
Ω |
0.10161267787096 |
Real period |
R |
23.911976653835 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7774c1 4784e1 |
Quadratic twists by: -4 13 |