Atkin-Lehner |
2- 3+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
4278m |
Isogeny class |
Conductor |
4278 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
448 |
Modular degree for the optimal curve |
Δ |
34224 = 24 · 3 · 23 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 1 -1 -1 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-15,-27] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:2:1] |
Generators of the group modulo torsion |
j |
374805361/34224 |
j-invariant |
L |
4.6790932328447 |
L(r)(E,1)/r! |
Ω |
2.4392497929053 |
Real period |
R |
0.47956273753246 |
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 |
34224bf1 12834b1 106950r1 98394bg1 |
Quadratic twists by: -4 -3 5 -23 |