Atkin-Lehner |
2- 59- |
Signs for the Atkin-Lehner involutions |
Class |
27848g |
Isogeny class |
Conductor |
27848 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
7129088 = 211 · 592 |
Discriminant |
Eigenvalues |
2- 0 2 -3 -2 6 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-59,118] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:16:1] |
Generators of the group modulo torsion |
j |
3186 |
j-invariant |
L |
5.3007583976789 |
L(r)(E,1)/r! |
Ω |
2.1810858839752 |
Real period |
R |
2.4303299730765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55696c1 27848b1 |
Quadratic twists by: -4 -59 |