Atkin-Lehner |
2- 3- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
34224bo |
Isogeny class |
Conductor |
34224 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
1787350001135616 = 212 · 37 · 235 · 31 |
Discriminant |
Eigenvalues |
2- 3- 3 -3 3 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-44184,-2954412] |
[a1,a2,a3,a4,a6] |
Generators |
[-84:414:1] |
Generators of the group modulo torsion |
j |
2328995685476377/436364746371 |
j-invariant |
L |
7.7528162947107 |
L(r)(E,1)/r! |
Ω |
0.33356121591278 |
Real period |
R |
0.33203655944468 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2139b1 102672br1 |
Quadratic twists by: -4 -3 |