Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
60984s |
Isogeny class |
Conductor |
60984 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
57379601664 = 28 · 37 · 7 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 11- 0 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1452,17908] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:198:1] |
Generators of the group modulo torsion |
j |
123904/21 |
j-invariant |
L |
6.4225252306877 |
L(r)(E,1)/r! |
Ω |
1.0633750121796 |
Real period |
R |
0.12582824256484 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000204 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121968bx1 20328w1 60984ce1 |
Quadratic twists by: -4 -3 -11 |