Atkin-Lehner |
2- 3- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
83148n |
Isogeny class |
Conductor |
83148 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
383040 |
Modular degree for the optimal curve |
Δ |
-3526971655464816 = -1 · 24 · 3 · 1311 · 41 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 0 13+ -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4338,-2853759] |
[a1,a2,a3,a4,a6] |
j |
116872448/45669039 |
j-invariant |
L |
1.2503075915893 |
L(r)(E,1)/r! |
Ω |
0.20838459118696 |
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 |
6396e1 |
Quadratic twists by: 13 |