Atkin-Lehner |
2+ 3- 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
112176g |
Isogeny class |
Conductor |
112176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
696320 |
Modular degree for the optimal curve |
Δ |
24859996416 = 28 · 38 · 192 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 4 -6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-399639,97241110] |
[a1,a2,a3,a4,a6] |
j |
37823334126313552/133209 |
j-invariant |
L |
1.5939550717278 |
L(r)(E,1)/r! |
Ω |
0.796977845172 |
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 |
56088c1 37392f1 |
Quadratic twists by: -4 -3 |