Atkin-Lehner |
2+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
66248k |
Isogeny class |
Conductor |
66248 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-997633401856 = -1 · 210 · 78 · 132 |
Discriminant |
Eigenvalues |
2+ -2 1 7- -2 13+ 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2760,72736] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:356:1] [44:196:1] |
Generators of the group modulo torsion |
j |
-114244/49 |
j-invariant |
L |
7.9125388201981 |
L(r)(E,1)/r! |
Ω |
0.82253484464126 |
Real period |
R |
2.4049251140431 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999809 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9464a1 66248w1 |
Quadratic twists by: -7 13 |