Atkin-Lehner |
3- 13- 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
27417b |
Isogeny class |
Conductor |
27417 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-4874168021931 = -1 · 38 · 134 · 19 · 372 |
Discriminant |
Eigenvalues |
-2 3- -3 -1 -5 13- -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-8112,297920] |
[a1,a2,a3,a4,a6] |
Generators |
[-105:55:1] [60:-176:1] |
Generators of the group modulo torsion |
j |
-59042001882124288/4874168021931 |
j-invariant |
L |
4.1266377144812 |
L(r)(E,1)/r! |
Ω |
0.75387538864729 |
Real period |
R |
0.085529671428163 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82251f1 |
Quadratic twists by: -3 |