Atkin-Lehner |
2+ 3- 5+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
59160g |
Isogeny class |
Conductor |
59160 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-2658962764800 = -1 · 210 · 36 · 52 · 173 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 -2 -5 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-616,-78880] |
[a1,a2,a3,a4,a6] |
Generators |
[212:-3060:1] |
Generators of the group modulo torsion |
j |
-25285452196/2596643325 |
j-invariant |
L |
7.3867359337189 |
L(r)(E,1)/r! |
Ω |
0.3583814211113 |
Real period |
R |
0.2862691774552 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998271 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118320c1 |
Quadratic twists by: -4 |