Atkin-Lehner |
5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
10285h |
Isogeny class |
Conductor |
10285 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
6480 |
Modular degree for the optimal curve |
Δ |
777803125 = 55 · 114 · 17 |
Discriminant |
Eigenvalues |
-2 1 5+ 0 11- 4 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-766,-8310] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:5:1] |
Generators of the group modulo torsion |
j |
3399430144/53125 |
j-invariant |
L |
2.3944160262774 |
L(r)(E,1)/r! |
Ω |
0.90825214913615 |
Real period |
R |
0.87876332160063 |
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 |
92565bt1 51425j1 10285f1 |
Quadratic twists by: -3 5 -11 |