Atkin-Lehner |
7+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
62699d |
Isogeny class |
Conductor |
62699 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-87746560811 = -1 · 73 · 136 · 53 |
Discriminant |
Eigenvalues |
-2 0 -3 7+ -3 13+ 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-5239,-146650] |
[a1,a2,a3,a4,a6] |
Generators |
[754:3545:8] |
Generators of the group modulo torsion |
j |
-3294646272/18179 |
j-invariant |
L |
2.0950236728035 |
L(r)(E,1)/r! |
Ω |
0.28048793139991 |
Real period |
R |
3.7346057329599 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
371b1 |
Quadratic twists by: 13 |