Atkin-Lehner |
2- 5+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
51920j |
Isogeny class |
Conductor |
51920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
-25094389760 = -1 · 217 · 5 · 11 · 592 |
Discriminant |
Eigenvalues |
2- -3 5+ -3 11+ -2 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2203,40522] |
[a1,a2,a3,a4,a6] |
Generators |
[29:32:1] [39:118:1] |
Generators of the group modulo torsion |
j |
-288673724529/6126560 |
j-invariant |
L |
4.7819948024862 |
L(r)(E,1)/r! |
Ω |
1.193652453049 |
Real period |
R |
0.50077336060729 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6490f1 |
Quadratic twists by: -4 |