Atkin-Lehner |
2- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
4450m |
Isogeny class |
Conductor |
4450 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
3560000000000 = 212 · 510 · 89 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 -4 2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-28438,-1855469] |
[a1,a2,a3,a4,a6] |
Generators |
[625:14687:1] |
Generators of the group modulo torsion |
j |
162780279643801/227840000 |
j-invariant |
L |
6.6878334099817 |
L(r)(E,1)/r! |
Ω |
0.36767255864489 |
Real period |
R |
1.5158037708495 |
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 |
35600bf1 40050h1 890e1 |
Quadratic twists by: -4 -3 5 |