Atkin-Lehner |
2- 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
66600bo |
Isogeny class |
Conductor |
66600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-107892000000000 = -1 · 211 · 36 · 59 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -3 0 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75,499750] |
[a1,a2,a3,a4,a6] |
Generators |
[110:1350:1] |
Generators of the group modulo torsion |
j |
-2/4625 |
j-invariant |
L |
4.6502889765782 |
L(r)(E,1)/r! |
Ω |
0.47278468030364 |
Real period |
R |
2.4589888216485 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7400b1 13320e1 |
Quadratic twists by: -3 5 |