Atkin-Lehner |
2+ 3- 11+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
21318i |
Isogeny class |
Conductor |
21318 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
4596629796 = 22 · 35 · 114 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 11+ 0 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1555,-23494] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:26:1] |
Generators of the group modulo torsion |
j |
415444823843113/4596629796 |
j-invariant |
L |
5.8348489131382 |
L(r)(E,1)/r! |
Ω |
0.76083550329244 |
Real period |
R |
1.5338003781076 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63954z1 |
Quadratic twists by: -3 |