Atkin-Lehner |
2+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
126350z |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4147200 |
Modular degree for the optimal curve |
Δ |
-4888361072656250000 = -1 · 24 · 511 · 7 · 197 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7- 0 -4 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-173167,-109888259] |
[a1,a2,a3,a4,a6] |
Generators |
[4014:250693:1] |
Generators of the group modulo torsion |
j |
-781229961/6650000 |
j-invariant |
L |
2.5724053049129 |
L(r)(E,1)/r! |
Ω |
0.10275016866629 |
Real period |
R |
3.1294416569475 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000156474 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25270w1 6650ba1 |
Quadratic twists by: 5 -19 |