Atkin-Lehner |
2+ 5+ 29- 47- |
Signs for the Atkin-Lehner involutions |
Class |
13630c |
Isogeny class |
Conductor |
13630 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-1204346800 = -1 · 24 · 52 · 29 · 473 |
Discriminant |
Eigenvalues |
2+ 0 5+ -3 -5 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,100,1600] |
[a1,a2,a3,a4,a6] |
Generators |
[60:440:1] |
Generators of the group modulo torsion |
j |
109971085671/1204346800 |
j-invariant |
L |
2.162282270021 |
L(r)(E,1)/r! |
Ω |
1.1325723375872 |
Real period |
R |
0.15909817253023 |
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 |
109040g1 122670cb1 68150q1 |
Quadratic twists by: -4 -3 5 |