Atkin-Lehner |
2- 3+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
21756c |
Isogeny class |
Conductor |
21756 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
121907278260432 = 24 · 36 · 710 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -4 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22213,1165690] |
[a1,a2,a3,a4,a6] |
Generators |
[2042:27783:8] |
Generators of the group modulo torsion |
j |
643956736000/64762173 |
j-invariant |
L |
3.8791382385054 |
L(r)(E,1)/r! |
Ω |
0.57158695472666 |
Real period |
R |
3.3933054336067 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87024di1 65268e1 3108e1 |
Quadratic twists by: -4 -3 -7 |