Atkin-Lehner |
2- 3+ 5+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
40260d |
Isogeny class |
Conductor |
40260 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-78308681655600 = -1 · 24 · 314 · 52 · 11 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11- -4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,9999,-185490] |
[a1,a2,a3,a4,a6] |
j |
6909235568623616/4894292603475 |
j-invariant |
L |
2.7528920156683 |
L(r)(E,1)/r! |
Ω |
0.34411150196608 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120780z1 |
Quadratic twists by: -3 |