Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
22050dx |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
94080 |
Modular degree for the optimal curve |
Δ |
-393988118343750 = -1 · 2 · 37 · 56 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -5 0 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11255,-1057003] |
[a1,a2,a3,a4,a6] |
Generators |
[1374:10775:8] |
Generators of the group modulo torsion |
j |
-2401/6 |
j-invariant |
L |
7.5835913982667 |
L(r)(E,1)/r! |
Ω |
0.21587542924067 |
Real period |
R |
2.9274565988286 |
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 |
7350u1 882c1 22050ev1 |
Quadratic twists by: -3 5 -7 |