Atkin-Lehner |
2+ 5+ 31+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
128650c |
Isogeny class |
Conductor |
128650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
165120 |
Modular degree for the optimal curve |
Δ |
-30660897200 = -1 · 24 · 52 · 314 · 83 |
Discriminant |
Eigenvalues |
2+ 1 5+ 5 -3 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,499,7288] |
[a1,a2,a3,a4,a6] |
j |
551233799375/1226435888 |
j-invariant |
L |
3.2623928376707 |
L(r)(E,1)/r! |
Ω |
0.81559807123434 |
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 |
128650f1 |
Quadratic twists by: 5 |