Atkin-Lehner |
2- 3+ 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
109956n |
Isogeny class |
Conductor |
109956 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
-90153972091995504 = -1 · 24 · 3 · 79 · 115 · 172 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 11+ 7 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,11254,14435037] |
[a1,a2,a3,a4,a6] |
j |
83733188864/47893507431 |
j-invariant |
L |
2.1144544971678 |
L(r)(E,1)/r! |
Ω |
0.26430676457059 |
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 |
15708h1 |
Quadratic twists by: -7 |