Atkin-Lehner |
2- 3- 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
65700r |
Isogeny class |
Conductor |
65700 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
21168 |
Modular degree for the optimal curve |
Δ |
532170000 = 24 · 36 · 54 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 4 -4 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-225,-675] |
[a1,a2,a3,a4,a6] |
Generators |
[76:649:1] |
Generators of the group modulo torsion |
j |
172800/73 |
j-invariant |
L |
5.6694586198617 |
L(r)(E,1)/r! |
Ω |
1.2801556427553 |
Real period |
R |
4.4287260317794 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000109 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7300g1 65700d1 |
Quadratic twists by: -3 5 |