Atkin-Lehner |
2- 5+ 11+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
56650p |
Isogeny class |
Conductor |
56650 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-428415625000 = -1 · 23 · 58 · 113 · 103 |
Discriminant |
Eigenvalues |
2- 0 5+ -3 11+ 3 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2755,-63253] |
[a1,a2,a3,a4,a6] |
Generators |
[89:580:1] |
Generators of the group modulo torsion |
j |
-147951952569/27418600 |
j-invariant |
L |
7.4808838930218 |
L(r)(E,1)/r! |
Ω |
0.32621660337358 |
Real period |
R |
1.9110216482758 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000018 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11330a1 |
Quadratic twists by: 5 |