Atkin-Lehner |
2- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
105800y |
Isogeny class |
Conductor |
105800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
540672 |
Modular degree for the optimal curve |
Δ |
-851206361750000 = -1 · 24 · 56 · 237 |
Discriminant |
Eigenvalues |
2- 1 5+ -4 2 -7 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-57308,-5482987] |
[a1,a2,a3,a4,a6] |
Generators |
[338:3725:1] |
Generators of the group modulo torsion |
j |
-562432/23 |
j-invariant |
L |
5.1871285634098 |
L(r)(E,1)/r! |
Ω |
0.15391327318403 |
Real period |
R |
4.2127040475576 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023304 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4232c1 4600l1 |
Quadratic twists by: 5 -23 |