Atkin-Lehner |
2+ 5- 31+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
116560f |
Isogeny class |
Conductor |
116560 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
864000 |
Modular degree for the optimal curve |
Δ |
-50593435647200000 = -1 · 28 · 55 · 315 · 472 |
Discriminant |
Eigenvalues |
2+ -1 5- 2 4 -2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65505,-12578003] |
[a1,a2,a3,a4,a6] |
Generators |
[324:325:1] |
Generators of the group modulo torsion |
j |
-121426570622657536/197630607996875 |
j-invariant |
L |
6.0455826680631 |
L(r)(E,1)/r! |
Ω |
0.14125168467381 |
Real period |
R |
4.2800074663881 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029153 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58280f1 |
Quadratic twists by: -4 |