Atkin-Lehner |
2- 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
60352l |
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 |
[5385:74060:27] |
Generators of the group modulo torsion |
j |
3463512697/347024 |
j-invariant |
L |
10.965042700871 |
L(r)(E,1)/r! |
Ω |
1.0416530373176 |
Real period |
R |
5.263289362202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000029 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60352i1 15088d1 |
Quadratic twists by: -4 8 |