Atkin-Lehner |
2+ 3- 17+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
123114d |
Isogeny class |
Conductor |
123114 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
1573238472282 = 2 · 33 · 177 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 0 3 3 -1 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-49281,4206226] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:2172:1] |
Generators of the group modulo torsion |
j |
548347731625/65178 |
j-invariant |
L |
8.127658567842 |
L(r)(E,1)/r! |
Ω |
0.81317533705686 |
Real period |
R |
1.6658274143609 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999420903 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7242a1 |
Quadratic twists by: 17 |