Atkin-Lehner |
2- 3- 19- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
60876r |
Isogeny class |
Conductor |
60876 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-177514416 = -1 · 24 · 38 · 19 · 89 |
Discriminant |
Eigenvalues |
2- 3- -3 -2 -5 -3 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,96,529] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:9:1] [2:-27:1] |
Generators of the group modulo torsion |
j |
8388608/15219 |
j-invariant |
L |
7.5979055313353 |
L(r)(E,1)/r! |
Ω |
1.2391446440034 |
Real period |
R |
0.51096439575551 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20292m1 |
Quadratic twists by: -3 |