Atkin-Lehner |
2- 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
66880dm |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
200 |
Product of Tamagawa factors cp |
deg |
2304000 |
Modular degree for the optimal curve |
Δ |
2.9962912899075E+19 |
Discriminant |
Eigenvalues |
2- -2 5- -2 11- -6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4084125,3164553523] |
[a1,a2,a3,a4,a6] |
Generators |
[-2234:33825:1] [-34:-57475:1] |
Generators of the group modulo torsion |
j |
7357341911923925653504/29260657128003125 |
j-invariant |
L |
7.3178161752742 |
L(r)(E,1)/r! |
Ω |
0.21017922249397 |
Real period |
R |
0.69634058860935 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000039 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66880bg1 16720h1 |
Quadratic twists by: -4 8 |