Atkin-Lehner |
2- 3+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
66270n |
Isogeny class |
Conductor |
66270 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
7580160 |
Modular degree for the optimal curve |
Δ |
1.0972240893739E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 5 2 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-16401871,-25072710571] |
[a1,a2,a3,a4,a6] |
Generators |
[7547:526386:1] |
Generators of the group modulo torsion |
j |
20493730741489/460800000 |
j-invariant |
L |
8.1217913922732 |
L(r)(E,1)/r! |
Ω |
0.075122603987098 |
Real period |
R |
1.2870692393502 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993257 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66270s1 |
Quadratic twists by: -47 |