Atkin-Lehner |
2+ 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
126350c |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
6703200 |
Modular degree for the optimal curve |
Δ |
-6.9933472287371E+21 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ -2 5 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,503708,4020989616] |
[a1,a2,a3,a4,a6] |
Generators |
[-3441808179:437233564491:7189057] |
Generators of the group modulo torsion |
j |
53261199/26353376 |
j-invariant |
L |
4.4747507760803 |
L(r)(E,1)/r! |
Ω |
0.10332540815129 |
Real period |
R |
14.435787068404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008037 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5054b1 126350ci1 |
Quadratic twists by: 5 -19 |