Atkin-Lehner |
2+ 3+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
85800g |
Isogeny class |
Conductor |
85800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-713748750000 = -1 · 24 · 3 · 57 · 114 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11- 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,617,40012] |
[a1,a2,a3,a4,a6] |
Generators |
[36:328:1] |
Generators of the group modulo torsion |
j |
103737344/2854995 |
j-invariant |
L |
5.7635068056042 |
L(r)(E,1)/r! |
Ω |
0.67908202138152 |
Real period |
R |
4.2436013804453 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980285 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17160y1 |
Quadratic twists by: 5 |