Atkin-Lehner |
2- 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
106560ff |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
278528 |
Modular degree for the optimal curve |
Δ |
19886653440 = 214 · 38 · 5 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 4 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20028,1090928] |
[a1,a2,a3,a4,a6] |
j |
74385620944/1665 |
j-invariant |
L |
2.2502036026165 |
L(r)(E,1)/r! |
Ω |
1.1251018298576 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106560ch1 26640m1 35520ci1 |
Quadratic twists by: -4 8 -3 |