Atkin-Lehner |
2+ 3+ 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118080o |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
356352 |
Modular degree for the optimal curve |
Δ |
-20175075000000 = -1 · 26 · 39 · 58 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -5 2 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1998,213354] |
[a1,a2,a3,a4,a6] |
Generators |
[153:-2025:1] [73:865:1] |
Generators of the group modulo torsion |
j |
700227072/16015625 |
j-invariant |
L |
10.905973252377 |
L(r)(E,1)/r! |
Ω |
0.51217824918181 |
Real period |
R |
1.3308322436325 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999967016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118080n1 59040a1 118080i1 |
Quadratic twists by: -4 8 -3 |