Atkin-Lehner |
2+ 3+ 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
34224c |
Isogeny class |
Conductor |
34224 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5888 |
Modular degree for the optimal curve |
Δ |
-2361456 = -1 · 24 · 32 · 232 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -3 -4 -4 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,28,39] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:3:1] [7:23:1] |
Generators of the group modulo torsion |
j |
146377472/147591 |
j-invariant |
L |
5.4743404906171 |
L(r)(E,1)/r! |
Ω |
1.7045220304482 |
Real period |
R |
0.8029143057157 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17112e1 102672r1 |
Quadratic twists by: -4 -3 |