Atkin-Lehner |
7- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15827i |
Isogeny class |
Conductor |
15827 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
13034215061 = 79 · 17 · 19 |
Discriminant |
Eigenvalues |
0 2 3 7- 0 1 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2809,-56113] |
[a1,a2,a3,a4,a6] |
Generators |
[-3645:1481:125] |
Generators of the group modulo torsion |
j |
20842283008/110789 |
j-invariant |
L |
7.0260080010896 |
L(r)(E,1)/r! |
Ω |
0.65597564752171 |
Real period |
R |
2.6776939157856 |
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 |
2261e1 |
Quadratic twists by: -7 |