Atkin-Lehner |
2- 3- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
54390cv |
Isogeny class |
Conductor |
54390 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-49296221562470400 = -1 · 224 · 33 · 52 · 76 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-41406,-11167164] |
[a1,a2,a3,a4,a6] |
Generators |
[2076:93042:1] |
Generators of the group modulo torsion |
j |
-66730743078481/419010969600 |
j-invariant |
L |
11.408052552899 |
L(r)(E,1)/r! |
Ω |
0.14934487961319 |
Real period |
R |
0.53046738112476 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1110k1 |
Quadratic twists by: -7 |