Atkin-Lehner |
2- 3- 5+ 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
20910n |
Isogeny class |
Conductor |
20910 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
96353280 = 210 · 33 · 5 · 17 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 1 1 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-131,321] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:25:1] |
Generators of the group modulo torsion |
j |
248739515569/96353280 |
j-invariant |
L |
9.3057094676402 |
L(r)(E,1)/r! |
Ω |
1.7285170398244 |
Real period |
R |
0.17945458936264 |
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 |
62730m1 104550a1 |
Quadratic twists by: -3 5 |