Atkin-Lehner |
2- 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
234b |
Isogeny class |
Conductor |
234 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
48 |
Modular degree for the optimal curve |
Δ |
-4094064 = -1 · 24 · 39 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 4 13+ 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-29,-107] |
[a1,a2,a3,a4,a6] |
j |
-132651/208 |
j-invariant |
L |
1.95536655685 |
L(r)(E,1)/r! |
Ω |
0.97768327842502 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1872j1 7488h1 234c1 5850c1 |
Quadratic twists by: -4 8 -3 5 |