Atkin-Lehner |
2+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
31850z |
Isogeny class |
Conductor |
31850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-35672000000 = -1 · 29 · 56 · 73 · 13 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- -5 13- 8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-50600,4360000] |
[a1,a2,a3,a4,a6] |
Generators |
[125:25:1] |
Generators of the group modulo torsion |
j |
-2673465150439/6656 |
j-invariant |
L |
2.5704606279988 |
L(r)(E,1)/r! |
Ω |
1.0036678210321 |
Real period |
R |
0.64026677306329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1274h1 31850j1 |
Quadratic twists by: 5 -7 |