Atkin-Lehner |
2- 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
83600bo |
Isogeny class |
Conductor |
83600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
54601250000 = 24 · 57 · 112 · 192 |
Discriminant |
Eigenvalues |
2- 2 5+ -4 11+ -4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15133,721512] |
[a1,a2,a3,a4,a6] |
Generators |
[2604:-10450:27] |
Generators of the group modulo torsion |
j |
1533160062976/218405 |
j-invariant |
L |
6.6977935467251 |
L(r)(E,1)/r! |
Ω |
1.0799658539361 |
Real period |
R |
1.5504641931934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001684 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20900c1 16720bf1 |
Quadratic twists by: -4 5 |