Atkin-Lehner |
2+ 3- 5- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
59160j |
Isogeny class |
Conductor |
59160 |
Conductor |
∏ cp |
1512 |
Product of Tamagawa factors cp |
deg |
1475712 |
Modular degree for the optimal curve |
Δ |
-7707448363500000000 = -1 · 28 · 37 · 59 · 172 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -3 -4 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,350815,107098275] |
[a1,a2,a3,a4,a6] |
Generators |
[265:-14790:1] [-245:2550:1] |
Generators of the group modulo torsion |
j |
18651637759627910144/30107220169921875 |
j-invariant |
L |
10.985591109299 |
L(r)(E,1)/r! |
Ω |
0.15982426427556 |
Real period |
R |
0.045459947014062 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999815 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118320j1 |
Quadratic twists by: -4 |