Atkin-Lehner |
2- 3- 5- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
66780i |
Isogeny class |
Conductor |
66780 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
-1314430740000000 = -1 · 28 · 311 · 57 · 7 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -1 3 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,18393,-1456306] |
[a1,a2,a3,a4,a6] |
Generators |
[238:4050:1] |
Generators of the group modulo torsion |
j |
3687346337456/7043203125 |
j-invariant |
L |
7.2119631294272 |
L(r)(E,1)/r! |
Ω |
0.25226352261447 |
Real period |
R |
1.0210358957382 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996319 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22260a1 |
Quadratic twists by: -3 |