Atkin-Lehner |
2- 3+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
22704x |
Isogeny class |
Conductor |
22704 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
224640 |
Modular degree for the optimal curve |
Δ |
149353809180048 = 24 · 36 · 115 · 433 |
Discriminant |
Eigenvalues |
2- 3+ 0 -5 11- -4 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-473118,-125098137] |
[a1,a2,a3,a4,a6] |
Generators |
[-3174:297:8] |
Generators of the group modulo torsion |
j |
732003337727529952000/9334613073753 |
j-invariant |
L |
3.1761723337173 |
L(r)(E,1)/r! |
Ω |
0.18203606654393 |
Real period |
R |
1.7448038699247 |
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 |
5676e1 90816ch1 68112bm1 |
Quadratic twists by: -4 8 -3 |