Atkin-Lehner |
2+ 3+ 7+ 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
109494a |
Isogeny class |
Conductor |
109494 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
195840 |
Modular degree for the optimal curve |
Δ |
-858236746752 = -1 · 210 · 39 · 72 · 11 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 11+ 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1527,50525] |
[a1,a2,a3,a4,a6] |
j |
-20012875875/43602944 |
j-invariant |
L |
1.5797729906638 |
L(r)(E,1)/r! |
Ω |
0.78988659033112 |
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 |
109494bc1 |
Quadratic twists by: -3 |