Atkin-Lehner |
2- 3- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
60270bl |
Isogeny class |
Conductor |
60270 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-43741555200 = -1 · 29 · 35 · 52 · 73 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -5 -6 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-561,11241] |
[a1,a2,a3,a4,a6] |
Generators |
[18:75:1] [-24:117:1] |
Generators of the group modulo torsion |
j |
-56933326423/127526400 |
j-invariant |
L |
15.403301844544 |
L(r)(E,1)/r! |
Ω |
1.0113975816919 |
Real period |
R |
0.084609554823368 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999971 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60270bc1 |
Quadratic twists by: -7 |