Atkin-Lehner |
2- 3+ 5- 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
109650co |
Isogeny class |
Conductor |
109650 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2119680 |
Modular degree for the optimal curve |
Δ |
491674266421875000 = 23 · 316 · 59 · 17 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 -6 -5 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-359138,-75808969] |
[a1,a2,a3,a4,a6] |
Generators |
[-3282:14759:8] |
Generators of the group modulo torsion |
j |
2622876415580429/251737224408 |
j-invariant |
L |
7.1819896984195 |
L(r)(E,1)/r! |
Ω |
0.19622425379976 |
Real period |
R |
3.050077297397 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999970198 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109650bj1 |
Quadratic twists by: 5 |