Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400gq |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-37260000000000000 = -1 · 214 · 34 · 513 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 -2 -2 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-84533,-13228563] |
[a1,a2,a3,a4,a6] |
Generators |
[27908:365625:64] |
Generators of the group modulo torsion |
j |
-260956266496/145546875 |
j-invariant |
L |
4.0098349309915 |
L(r)(E,1)/r! |
Ω |
0.13646203420418 |
Real period |
R |
3.6730316409065 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999393396 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110400dc1 27600da1 22080cn1 |
Quadratic twists by: -4 8 5 |