Atkin-Lehner |
2- 5+ 23- 71- |
Signs for the Atkin-Lehner involutions |
Class |
81650q |
Isogeny class |
Conductor |
81650 |
Conductor |
∏ cp |
37 |
Product of Tamagawa factors cp |
deg |
3100896 |
Modular degree for the optimal curve |
Δ |
-3506840797184000000 = -1 · 237 · 56 · 23 · 71 |
Discriminant |
Eigenvalues |
2- 3 5+ -2 -4 -1 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,378345,9612847] |
[a1,a2,a3,a4,a6] |
j |
383326425227048967/224437811019776 |
j-invariant |
L |
5.6063291438174 |
L(r)(E,1)/r! |
Ω |
0.15152240948074 |
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 |
3266a1 |
Quadratic twists by: 5 |