Atkin-Lehner |
3- 5+ 17+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
54315a |
Isogeny class |
Conductor |
54315 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
93696 |
Modular degree for the optimal curve |
Δ |
-2103518109375 = -1 · 38 · 56 · 172 · 71 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 -4 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2722,-44044] |
[a1,a2,a3,a4,a6] |
Generators |
[63:580:1] |
Generators of the group modulo torsion |
j |
3060624960359/2885484375 |
j-invariant |
L |
3.7133445284029 |
L(r)(E,1)/r! |
Ω |
0.4512034334023 |
Real period |
R |
2.0574669060735 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996634 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18105k1 |
Quadratic twists by: -3 |