Atkin-Lehner |
2+ 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
60352i |
Isogeny class |
Conductor |
60352 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
90970259456 = 222 · 232 · 41 |
Discriminant |
Eigenvalues |
2+ -2 2 0 0 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2017,-32385] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:45:1] |
Generators of the group modulo torsion |
j |
3463512697/347024 |
j-invariant |
L |
4.9785353834989 |
L(r)(E,1)/r! |
Ω |
0.71696735389688 |
Real period |
R |
3.4719400795909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999865 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60352l1 1886d1 |
Quadratic twists by: -4 8 |