Atkin-Lehner |
11- 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
114103a |
Isogeny class |
Conductor |
114103 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
-68493862943 = -1 · 116 · 23 · 412 |
Discriminant |
Eigenvalues |
-1 0 -2 -2 11- -6 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1596,-27178] |
[a1,a2,a3,a4,a6] |
j |
-253636137/38663 |
j-invariant |
L |
0.37453869268746 |
L(r)(E,1)/r! |
Ω |
0.37453830227146 |
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 |
943a1 |
Quadratic twists by: -11 |