Atkin-Lehner |
2- 3+ 5+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
118320ba |
Isogeny class |
Conductor |
118320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
995328 |
Modular degree for the optimal curve |
Δ |
5837956082565120 = 218 · 312 · 5 · 172 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-528816,-147792960] |
[a1,a2,a3,a4,a6] |
j |
3992807253720076849/1425282246720 |
j-invariant |
L |
0.70817827320791 |
L(r)(E,1)/r! |
Ω |
0.17704458299163 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14790t1 |
Quadratic twists by: -4 |