Atkin-Lehner |
2- 3+ 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
34224w |
Isogeny class |
Conductor |
34224 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
-1.0893626579721E+22 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 0 -2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1282904,-5052248592] |
[a1,a2,a3,a4,a6] |
Generators |
[13717693094186:-587917041967458:4750104241] |
Generators of the group modulo torsion |
j |
-57009414456430203097/2659576801689796608 |
j-invariant |
L |
4.162787078485 |
L(r)(E,1)/r! |
Ω |
0.056053960623416 |
Real period |
R |
18.565981030545 |
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 |
4278h1 102672cj1 |
Quadratic twists by: -4 -3 |