Atkin-Lehner |
2- 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
22990bl |
Isogeny class |
Conductor |
22990 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-2.2547646369005E+20 |
Discriminant |
Eigenvalues |
2- 3 5- -3 11- -5 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-247347,724063321] |
[a1,a2,a3,a4,a6] |
Generators |
[324906:13071209:216] |
Generators of the group modulo torsion |
j |
-944682558225561/127275585593750 |
j-invariant |
L |
13.072963345212 |
L(r)(E,1)/r! |
Ω |
0.14484260498571 |
Real period |
R |
7.5213616339507 |
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 |
114950bh1 2090g1 |
Quadratic twists by: 5 -11 |