Atkin-Lehner |
2+ 5- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
22550p |
Isogeny class |
Conductor |
22550 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
170534375000 = 23 · 58 · 113 · 41 |
Discriminant |
Eigenvalues |
2+ -2 5- 2 11- 2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4701,122048] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:511:1] |
Generators of the group modulo torsion |
j |
29403675625/436568 |
j-invariant |
L |
2.4888747572592 |
L(r)(E,1)/r! |
Ω |
1.0201224544156 |
Real period |
R |
2.4397803876252 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
22550ba1 |
Quadratic twists by: 5 |