Atkin-Lehner |
3- 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
112167o |
Isogeny class |
Conductor |
112167 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
224000 |
Modular degree for the optimal curve |
Δ |
-32324151796101 = -1 · 311 · 116 · 103 |
Discriminant |
Eigenvalues |
-1 3- 1 2 11- 5 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6557,343082] |
[a1,a2,a3,a4,a6] |
j |
-24137569/25029 |
j-invariant |
L |
2.3914230556278 |
L(r)(E,1)/r! |
Ω |
0.59785590396897 |
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 |
37389d1 927a1 |
Quadratic twists by: -3 -11 |