Atkin-Lehner |
2- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
46400br |
Isogeny class |
Conductor |
46400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
3801088000000000 = 226 · 59 · 29 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 2 -6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-112300,14178000] |
[a1,a2,a3,a4,a6] |
Generators |
[165:375:1] |
Generators of the group modulo torsion |
j |
38238692409/928000 |
j-invariant |
L |
4.0488578365341 |
L(r)(E,1)/r! |
Ω |
0.4409608001684 |
Real period |
R |
2.2954749237088 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000083 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46400i1 11600o1 9280q1 |
Quadratic twists by: -4 8 5 |