Atkin-Lehner |
2- 3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
61920bk |
Isogeny class |
Conductor |
61920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
1354190400 = 26 · 39 · 52 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -4 -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1593,-24408] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:8:1] |
Generators of the group modulo torsion |
j |
354894912/1075 |
j-invariant |
L |
3.1727742489774 |
L(r)(E,1)/r! |
Ω |
0.75583098711718 |
Real period |
R |
2.0988648938545 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996285 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61920be1 123840ec2 61920l1 |
Quadratic twists by: -4 8 -3 |