Atkin-Lehner |
2- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
12496h |
Isogeny class |
Conductor |
12496 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
44064 |
Modular degree for the optimal curve |
Δ |
685728915705856 = 212 · 119 · 71 |
Discriminant |
Eigenvalues |
2- 0 -1 3 11- 7 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22048,-22224] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:363:1] |
Generators of the group modulo torsion |
j |
289381900713984/167414286061 |
j-invariant |
L |
4.9786723713361 |
L(r)(E,1)/r! |
Ω |
0.429366011993 |
Real period |
R |
1.2883782218104 |
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 |
781a1 49984l1 112464ba1 |
Quadratic twists by: -4 8 -3 |