Atkin-Lehner |
2- 3+ 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
56640bz |
Isogeny class |
Conductor |
56640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
1443640320 = 210 · 34 · 5 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-461,3501] |
[a1,a2,a3,a4,a6] |
Generators |
[5:36:1] |
Generators of the group modulo torsion |
j |
10603964416/1409805 |
j-invariant |
L |
3.2906288983658 |
L(r)(E,1)/r! |
Ω |
1.4582629844483 |
Real period |
R |
1.1282700491585 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000203 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56640w1 14160j1 |
Quadratic twists by: -4 8 |