Atkin-Lehner |
2- 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
60352m |
Isogeny class |
Conductor |
60352 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
2474432 = 26 · 23 · 412 |
Discriminant |
Eigenvalues |
2- -2 -2 -4 0 6 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-44,70] |
[a1,a2,a3,a4,a6] |
Generators |
[9:22:1] |
Generators of the group modulo torsion |
j |
150568768/38663 |
j-invariant |
L |
2.8565787580897 |
L(r)(E,1)/r! |
Ω |
2.4106352937894 |
Real period |
R |
2.3699800344026 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994261 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60352r1 30176a2 |
Quadratic twists by: -4 8 |