Atkin-Lehner |
2+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
126350bf |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1209600 |
Modular degree for the optimal curve |
Δ |
64072726251520000 = 214 · 54 · 7 · 197 |
Discriminant |
Eigenvalues |
2+ -1 5- 7+ 1 3 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-194225,30531925] |
[a1,a2,a3,a4,a6] |
Generators |
[194:351:1] |
Generators of the group modulo torsion |
j |
27557573425/2179072 |
j-invariant |
L |
4.3879541891844 |
L(r)(E,1)/r! |
Ω |
0.3413197340529 |
Real period |
R |
3.2139617238336 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998765802 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126350cv1 6650bb1 |
Quadratic twists by: 5 -19 |