Atkin-Lehner |
2- 5- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
15950u |
Isogeny class |
Conductor |
15950 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
108000 |
Modular degree for the optimal curve |
Δ |
-7755778215625000 = -1 · 23 · 58 · 112 · 295 |
Discriminant |
Eigenvalues |
2- 2 5- 0 11- -2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-15138,4291031] |
[a1,a2,a3,a4,a6] |
Generators |
[135:2107:1] |
Generators of the group modulo torsion |
j |
-982134513985/19854792232 |
j-invariant |
L |
10.104818858868 |
L(r)(E,1)/r! |
Ω |
0.35011102071915 |
Real period |
R |
0.32068617796697 |
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 |
127600bo1 15950e1 |
Quadratic twists by: -4 5 |