Atkin-Lehner |
2- 5+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
42160o |
Isogeny class |
Conductor |
42160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
203520 |
Modular degree for the optimal curve |
Δ |
-14423020994560 = -1 · 216 · 5 · 175 · 31 |
Discriminant |
Eigenvalues |
2- -2 5+ -5 3 5 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-42576,-3400556] |
[a1,a2,a3,a4,a6] |
Generators |
[546:11680:1] |
Generators of the group modulo torsion |
j |
-2083859989441489/3521245360 |
j-invariant |
L |
2.9384836438685 |
L(r)(E,1)/r! |
Ω |
0.16616268841586 |
Real period |
R |
4.4210942779648 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5270d1 |
Quadratic twists by: -4 |