Atkin-Lehner |
2- 5- 23+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
108560r |
Isogeny class |
Conductor |
108560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
700416 |
Modular degree for the optimal curve |
Δ |
-264708293750000 = -1 · 24 · 58 · 233 · 592 |
Discriminant |
Eigenvalues |
2- 3 5- 2 2 -7 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,11843,605531] |
[a1,a2,a3,a4,a6] |
j |
11481243223267584/16544268359375 |
j-invariant |
L |
5.9791710498276 |
L(r)(E,1)/r! |
Ω |
0.37369826553761 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27140h1 |
Quadratic twists by: -4 |