Atkin-Lehner |
2- 3- 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
66300bo |
Isogeny class |
Conductor |
66300 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
28680960 |
Modular degree for the optimal curve |
Δ |
-3.9584361534344E+26 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -3 13- 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-563644458,-5238962479287] |
[a1,a2,a3,a4,a6] |
Generators |
[34458:4031625:1] |
Generators of the group modulo torsion |
j |
-633708328354227342480128/12666995690990079699 |
j-invariant |
L |
7.3869239832939 |
L(r)(E,1)/r! |
Ω |
0.015474045085316 |
Real period |
R |
5.6830370306339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995611 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66300t1 |
Quadratic twists by: 5 |