Atkin-Lehner |
2- 3+ 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
66300q |
Isogeny class |
Conductor |
66300 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
6048000 |
Modular degree for the optimal curve |
Δ |
-1.9778363921304E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 0 13+ 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,13667042,-8928344963] |
[a1,a2,a3,a4,a6] |
Generators |
[19539201062441643:1579732557600030425:7199118920629] |
Generators of the group modulo torsion |
j |
45171784765062053120/31645382274086607 |
j-invariant |
L |
4.4548885219171 |
L(r)(E,1)/r! |
Ω |
0.056734513353816 |
Real period |
R |
26.173888747019 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66300bd1 |
Quadratic twists by: 5 |