Atkin-Lehner |
2- 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
4628a |
Isogeny class |
Conductor |
4628 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
600 |
Modular degree for the optimal curve |
Δ |
296192 = 28 · 13 · 89 |
Discriminant |
Eigenvalues |
2- -2 -2 3 0 13+ 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29,-65] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:2:1] |
Generators of the group modulo torsion |
j |
10903552/1157 |
j-invariant |
L |
2.4681232926168 |
L(r)(E,1)/r! |
Ω |
2.0655290373306 |
Real period |
R |
0.39830365457793 |
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 |
18512h1 74048m1 41652c1 115700c1 |
Quadratic twists by: -4 8 -3 5 |