Atkin-Lehner |
2- 3- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
65598bj |
Isogeny class |
Conductor |
65598 |
Conductor |
∏ cp |
468 |
Product of Tamagawa factors cp |
deg |
366912 |
Modular degree for the optimal curve |
Δ |
-664602444619776 = -1 · 213 · 39 · 132 · 293 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 -4 13+ -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,12003,1133361] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:267:1] [186:-3225:1] |
Generators of the group modulo torsion |
j |
7841458987363/27250089984 |
j-invariant |
L |
14.249688753671 |
L(r)(E,1)/r! |
Ω |
0.36230755877894 |
Real period |
R |
0.084039242777888 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999907 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65598c1 |
Quadratic twists by: 29 |