Atkin-Lehner |
2+ 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
126350g |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3360000 |
Modular degree for the optimal curve |
Δ |
-1.844467408E+19 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ -2 3 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-574700,265874000] |
[a1,a2,a3,a4,a6] |
Generators |
[3786:3452801:216] |
Generators of the group modulo torsion |
j |
-313391806675/275365888 |
j-invariant |
L |
7.1634239616539 |
L(r)(E,1)/r! |
Ω |
0.19920086418918 |
Real period |
R |
8.9902019073171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006928 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126350dn1 126350cf1 |
Quadratic twists by: 5 -19 |