Atkin-Lehner |
5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
75295c |
Isogeny class |
Conductor |
75295 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-141114952495 = -1 · 5 · 11 · 376 |
Discriminant |
Eigenvalues |
-1 0 5+ 0 11+ -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1112,10802] |
[a1,a2,a3,a4,a6] |
Generators |
[432:8782:1] |
Generators of the group modulo torsion |
j |
59319/55 |
j-invariant |
L |
2.0660767997845 |
L(r)(E,1)/r! |
Ω |
0.67644913050897 |
Real period |
R |
6.1085947396089 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983758 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55a4 |
Quadratic twists by: 37 |