Atkin-Lehner |
2- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
126350cm |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.3017816428118E+31 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 3 -7 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6735249388,123006015989392] |
[a1,a2,a3,a4,a6] |
Generators |
[-16971521632503984:3716362886378902804:238443338601] |
Generators of the group modulo torsion |
j |
73546685675688065425/28334561366578432 |
j-invariant |
L |
11.978546694795 |
L(r)(E,1)/r! |
Ω |
0.020432327397182 |
Real period |
R |
18.32045742689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126350bv2 6650b2 |
Quadratic twists by: 5 -19 |