Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
111600dn |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-666471628800 = -1 · 217 · 38 · 52 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -1 1 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1725,27970] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:162:1] |
Generators of the group modulo torsion |
j |
7604375/8928 |
j-invariant |
L |
7.7789067649189 |
L(r)(E,1)/r! |
Ω |
0.60644669436668 |
Real period |
R |
1.603378095938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999994995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13950w1 37200cp1 111600fv1 |
Quadratic twists by: -4 -3 5 |