Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48510ef |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
-3757643586769121280 = -1 · 212 · 310 · 5 · 710 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-420062,140387181] |
[a1,a2,a3,a4,a6] |
j |
-95575628340361/43812679680 |
j-invariant |
L |
5.5774407049463 |
L(r)(E,1)/r! |
Ω |
0.23239336271103 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170d1 6930x1 |
Quadratic twists by: -3 -7 |