Atkin-Lehner |
2- 3- 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
66300bd |
Isogeny class |
Conductor |
66300 |
Conductor |
∏ cp |
225 |
Product of Tamagawa factors cp |
deg |
1209600 |
Modular degree for the optimal curve |
Δ |
-1.2658152909635E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 0 13- 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,546682,-71208087] |
[a1,a2,a3,a4,a6] |
Generators |
[8362:767637:1] |
Generators of the group modulo torsion |
j |
45171784765062053120/31645382274086607 |
j-invariant |
L |
8.8274111106219 |
L(r)(E,1)/r! |
Ω |
0.1268622285295 |
Real period |
R |
0.30925625953077 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996581 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66300q1 |
Quadratic twists by: 5 |