Atkin-Lehner |
2- 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
23184bv |
Isogeny class |
Conductor |
23184 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
96000 |
Modular degree for the optimal curve |
Δ |
-61798124924928 = -1 · 212 · 311 · 7 · 233 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -5 -2 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13872,-733840] |
[a1,a2,a3,a4,a6] |
j |
-98867482624/20696067 |
j-invariant |
L |
0.43502677759433 |
L(r)(E,1)/r! |
Ω |
0.21751338879717 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1449c1 92736fd1 7728n1 |
Quadratic twists by: -4 8 -3 |