Atkin-Lehner |
2+ 3- 37- 73- |
Signs for the Atkin-Lehner involutions |
Class |
129648i |
Isogeny class |
Conductor |
129648 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-177488112 = -1 · 24 · 3 · 373 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 -5 1 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,72,-573] |
[a1,a2,a3,a4,a6] |
j |
2544224000/11093007 |
j-invariant |
L |
2.7345952546292 |
L(r)(E,1)/r! |
Ω |
0.9115315495874 |
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 |
64824d1 |
Quadratic twists by: -4 |