Atkin-Lehner |
2- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
55664i |
Isogeny class |
Conductor |
55664 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
157248 |
Modular degree for the optimal curve |
Δ |
464965789456 = 24 · 78 · 712 |
Discriminant |
Eigenvalues |
2- 3 3 7+ -3 6 -7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2401,-31213] |
[a1,a2,a3,a4,a6] |
Generators |
[8526:149597:27] |
Generators of the group modulo torsion |
j |
16595712/5041 |
j-invariant |
L |
13.853179929775 |
L(r)(E,1)/r! |
Ω |
0.69811283021263 |
Real period |
R |
3.3072924915578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000029 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13916c1 55664bg1 |
Quadratic twists by: -4 -7 |