Atkin-Lehner |
2- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
126350cn |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3110400 |
Modular degree for the optimal curve |
Δ |
-3910688858125000000 = -1 · 26 · 510 · 7 · 197 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 0 -1 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-568763,-190599983] |
[a1,a2,a3,a4,a6] |
Generators |
[928:8535:1] |
Generators of the group modulo torsion |
j |
-44289025/8512 |
j-invariant |
L |
6.8658472518502 |
L(r)(E,1)/r! |
Ω |
0.086029234155713 |
Real period |
R |
6.6506919242218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000008403 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126350bw1 6650c1 |
Quadratic twists by: 5 -19 |