Atkin-Lehner |
2- 5+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
22550s |
Isogeny class |
Conductor |
22550 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
23328 |
Modular degree for the optimal curve |
Δ |
698508800 = 29 · 52 · 113 · 41 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 11+ 2 7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6100,-181833] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:23:1] |
Generators of the group modulo torsion |
j |
1003937000673465/27940352 |
j-invariant |
L |
6.4605133085079 |
L(r)(E,1)/r! |
Ω |
0.54022338949554 |
Real period |
R |
1.3287740331398 |
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 |
22550k1 |
Quadratic twists by: 5 |