Atkin-Lehner |
2+ 3- 7+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
107184bb |
Isogeny class |
Conductor |
107184 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
-27966989989838592 = -1 · 28 · 37 · 76 · 114 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 4 7+ 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-34196,-8417508] |
[a1,a2,a3,a4,a6] |
j |
-17275171682599504/109246054647807 |
j-invariant |
L |
4.3848971232759 |
L(r)(E,1)/r! |
Ω |
0.15660347792028 |
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 |
53592t1 |
Quadratic twists by: -4 |