Atkin-Lehner |
2- 3- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
4230bh |
Isogeny class |
Conductor |
4230 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-493387200 = -1 · 26 · 38 · 52 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -2 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,148,-849] |
[a1,a2,a3,a4,a6] |
Generators |
[11:39:1] |
Generators of the group modulo torsion |
j |
494913671/676800 |
j-invariant |
L |
5.1731473788808 |
L(r)(E,1)/r! |
Ω |
0.88160811891114 |
Real period |
R |
0.48898780042904 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33840cm1 1410b1 21150v1 |
Quadratic twists by: -4 -3 5 |