Atkin-Lehner |
2- 7+ 29+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
60088f |
Isogeny class |
Conductor |
60088 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
562176 |
Modular degree for the optimal curve |
Δ |
-8671364594213888 = -1 · 210 · 78 · 29 · 373 |
Discriminant |
Eigenvalues |
2- -1 -4 7+ -3 0 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-213760,-38231524] |
[a1,a2,a3,a4,a6] |
Generators |
[19290:355348:27] |
Generators of the group modulo torsion |
j |
-1054884982188764164/8468129486537 |
j-invariant |
L |
2.3267966858579 |
L(r)(E,1)/r! |
Ω |
0.11096337447191 |
Real period |
R |
1.7474209373039 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997624 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120176i1 |
Quadratic twists by: -4 |