Atkin-Lehner |
2- 3+ 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
4230v |
Isogeny class |
Conductor |
4230 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-86959494000 = -1 · 24 · 39 · 53 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1622,29269] |
[a1,a2,a3,a4,a6] |
Generators |
[7:131:1] |
Generators of the group modulo torsion |
j |
-23962599387/4418000 |
j-invariant |
L |
5.4249197228872 |
L(r)(E,1)/r! |
Ω |
1.0339937466445 |
Real period |
R |
0.43721409828733 |
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 |
33840bg1 4230b1 21150e1 |
Quadratic twists by: -4 -3 5 |