Atkin-Lehner |
2+ 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
16650ba |
Isogeny class |
Conductor |
16650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9461760 |
Modular degree for the optimal curve |
Δ |
2.4322551392414E+26 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -4 -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-320262417,2074555707741] |
[a1,a2,a3,a4,a6] |
Generators |
[12342289836644814249349807274:671410955957625848207333032363:816218145224526431394701] |
Generators of the group modulo torsion |
j |
318929057401476905525449/21353131537921474560 |
j-invariant |
L |
4.0448593868431 |
L(r)(E,1)/r! |
Ω |
0.054525472704471 |
Real period |
R |
37.091465568454 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5550bm1 3330y1 |
Quadratic twists by: -3 5 |