Atkin-Lehner |
2+ 3- 7+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
37674c |
Isogeny class |
Conductor |
37674 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-312772541123952 = -1 · 24 · 310 · 7 · 132 · 234 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,11619,-704075] |
[a1,a2,a3,a4,a6] |
j |
237947646518063/429043266288 |
j-invariant |
L |
1.1405974928127 |
L(r)(E,1)/r! |
Ω |
0.28514937319695 |
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 |
12558k1 |
Quadratic twists by: -3 |