Atkin-Lehner |
2+ 5+ 23+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
81650c |
Isogeny class |
Conductor |
81650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
489600 |
Modular degree for the optimal curve |
Δ |
3322429958451200 = 212 · 52 · 235 · 712 |
Discriminant |
Eigenvalues |
2+ 2 5+ -1 3 -3 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-61605,-5216755] |
[a1,a2,a3,a4,a6] |
j |
1034290663241409985/132897198338048 |
j-invariant |
L |
1.2224024324838 |
L(r)(E,1)/r! |
Ω |
0.30560059999113 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81650y1 |
Quadratic twists by: 5 |