Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120ei |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2741760 |
Modular degree for the optimal curve |
Δ |
-1.4239155797584E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- -4 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2456553,-1493042177] |
[a1,a2,a3,a4,a6] |
j |
-1161633816071508736/10089075234375 |
j-invariant |
L |
2.1695287851395 |
L(r)(E,1)/r! |
Ω |
0.060264691983352 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21780k1 29040dk1 87120ej1 |
Quadratic twists by: -4 -3 -11 |