Atkin-Lehner |
3- 5+ 17- 71- |
Signs for the Atkin-Lehner involutions |
Class |
54315g |
Isogeny class |
Conductor |
54315 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
-356360715 = -1 · 310 · 5 · 17 · 71 |
Discriminant |
Eigenvalues |
-2 3- 5+ -2 -1 1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,177,58] |
[a1,a2,a3,a4,a6] |
Generators |
[2:77:8] [7:-41:1] |
Generators of the group modulo torsion |
j |
841232384/488835 |
j-invariant |
L |
4.6981001786641 |
L(r)(E,1)/r! |
Ω |
1.0249470578657 |
Real period |
R |
1.1459372810059 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18105d1 |
Quadratic twists by: -3 |