Atkin-Lehner |
7- 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
107219o |
Isogeny class |
Conductor |
107219 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
899640 |
Modular degree for the optimal curve |
Δ |
-356215735306508651 = -1 · 73 · 178 · 533 |
Discriminant |
Eigenvalues |
0 1 -3 7- -3 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,75333,-27565433] |
[a1,a2,a3,a4,a6] |
j |
6777700352/51064811 |
j-invariant |
L |
0.451340855441 |
L(r)(E,1)/r! |
Ω |
0.15044705951455 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
107219d1 |
Quadratic twists by: 17 |