Atkin-Lehner |
3+ 5- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
50325k |
Isogeny class |
Conductor |
50325 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6676800 |
Modular degree for the optimal curve |
Δ |
-9.994729728701E+23 |
Discriminant |
Eigenvalues |
1 3+ 5- -1 11+ -2 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2618800,48073267125] |
[a1,a2,a3,a4,a6] |
Generators |
[5392455053290147094576220:462569051270489831637036015:1085024891960445597407] |
Generators of the group modulo torsion |
j |
1016951896892591659/511730162109489213 |
j-invariant |
L |
5.3135882425522 |
L(r)(E,1)/r! |
Ω |
0.068338781854828 |
Real period |
R |
38.876814148077 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50325ba1 |
Quadratic twists by: 5 |