Atkin-Lehner |
2- 5+ 41- 53- |
Signs for the Atkin-Lehner involutions |
Class |
108650m |
Isogeny class |
Conductor |
108650 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
1139277824000000000 = 228 · 59 · 41 · 53 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 -4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-278005,23433997] |
[a1,a2,a3,a4,a6] |
Generators |
[-545:3856:1] [-197:8496:1] |
Generators of the group modulo torsion |
j |
152075776363995609/72913780736000 |
j-invariant |
L |
16.189039239665 |
L(r)(E,1)/r! |
Ω |
0.24469980331614 |
Real period |
R |
9.4512535774173 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999549 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
21730a1 |
Quadratic twists by: 5 |