Atkin-Lehner |
2- 3+ 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
112800bu |
Isogeny class |
Conductor |
112800 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1671936 |
Modular degree for the optimal curve |
Δ |
486358195644480000 = 29 · 3 · 54 · 477 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 0 1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2685008,1693989912] |
[a1,a2,a3,a4,a6] |
Generators |
[7418:6689:8] |
Generators of the group modulo torsion |
j |
6689761697497320200/1519869361389 |
j-invariant |
L |
6.0176890700454 |
L(r)(E,1)/r! |
Ω |
0.28714671365145 |
Real period |
R |
6.985614901827 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999740148 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112800ch1 112800z1 |
Quadratic twists by: -4 5 |