Atkin-Lehner |
5- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
88985f |
Isogeny class |
Conductor |
88985 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
166772216585 = 5 · 13 · 376 |
Discriminant |
Eigenvalues |
1 -2 5- -4 2 13- -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1398,4163] |
[a1,a2,a3,a4,a6] |
Generators |
[-74:1055:8] |
Generators of the group modulo torsion |
j |
117649/65 |
j-invariant |
L |
4.5542617650576 |
L(r)(E,1)/r! |
Ω |
0.88493565937513 |
Real period |
R |
5.1464326580083 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999723627 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65a1 |
Quadratic twists by: 37 |