Atkin-Lehner |
5+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
13775c |
Isogeny class |
Conductor |
13775 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3360 |
Modular degree for the optimal curve |
Δ |
-163578125 = -1 · 56 · 192 · 29 |
Discriminant |
Eigenvalues |
1 -1 5+ -2 -3 5 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-275,1750] |
[a1,a2,a3,a4,a6] |
Generators |
[6:16:1] |
Generators of the group modulo torsion |
j |
-148035889/10469 |
j-invariant |
L |
3.6219543192789 |
L(r)(E,1)/r! |
Ω |
1.7844806258737 |
Real period |
R |
1.0148483168613 |
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 |
123975bc1 551b1 |
Quadratic twists by: -3 5 |