Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
22050q |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
-71154115200000000 = -1 · 213 · 33 · 58 · 77 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 3 -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,49383,12106541] |
[a1,a2,a3,a4,a6] |
Generators |
[-131:1903:1] |
Generators of the group modulo torsion |
j |
10733445/57344 |
j-invariant |
L |
3.6959761504059 |
L(r)(E,1)/r! |
Ω |
0.24947567582181 |
Real period |
R |
1.2345813335077 |
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 |
22050dn1 22050df1 3150f1 |
Quadratic twists by: -3 5 -7 |