Atkin-Lehner |
3- 5- 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
49995j |
Isogeny class |
Conductor |
49995 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
153378410625 = 37 · 54 · 11 · 1012 |
Discriminant |
Eigenvalues |
1 3- 5- 0 11- -2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3564,80595] |
[a1,a2,a3,a4,a6] |
Generators |
[38:2001:8] |
Generators of the group modulo torsion |
j |
6868751617729/210395625 |
j-invariant |
L |
7.5539155864264 |
L(r)(E,1)/r! |
Ω |
1.021722933574 |
Real period |
R |
1.848327794709 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999477 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16665c1 |
Quadratic twists by: -3 |