Atkin-Lehner |
2- 7- 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
109648r |
Isogeny class |
Conductor |
109648 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
459648 |
Modular degree for the optimal curve |
Δ |
-348092631986176 = -1 · 212 · 72 · 117 · 89 |
Discriminant |
Eigenvalues |
2- 0 -3 7- 11+ 3 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-100544,12303856] |
[a1,a2,a3,a4,a6] |
j |
-27443041428307968/84983552731 |
j-invariant |
L |
1.0825675944728 |
L(r)(E,1)/r! |
Ω |
0.54128371881023 |
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 |
6853f1 |
Quadratic twists by: -4 |