Atkin-Lehner |
2- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
46400by |
Isogeny class |
Conductor |
46400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
35840 |
Modular degree for the optimal curve |
Δ |
-29696000000 = -1 · 216 · 56 · 29 |
Discriminant |
Eigenvalues |
2- -1 5+ 2 3 -1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8033,279937] |
[a1,a2,a3,a4,a6] |
Generators |
[53:16:1] |
Generators of the group modulo torsion |
j |
-55990084/29 |
j-invariant |
L |
5.2894151519933 |
L(r)(E,1)/r! |
Ω |
1.1616199204518 |
Real period |
R |
1.1383704469212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46400l1 11600a1 1856i1 |
Quadratic twists by: -4 8 5 |