Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
22050p |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
-3307500 = -1 · 22 · 33 · 54 · 72 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 2 -3 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,33,41] |
[a1,a2,a3,a4,a6] |
Generators |
[4:13:1] |
Generators of the group modulo torsion |
j |
4725/4 |
j-invariant |
L |
3.7290872888488 |
L(r)(E,1)/r! |
Ω |
1.6295698683639 |
Real period |
R |
0.19069895688654 |
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 |
22050dm1 22050db1 22050l1 |
Quadratic twists by: -3 5 -7 |