Atkin-Lehner |
2+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
11872b |
Isogeny class |
Conductor |
11872 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1792 |
Modular degree for the optimal curve |
Δ |
8144192 = 26 · 74 · 53 |
Discriminant |
Eigenvalues |
2+ -2 -2 7- 0 -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-54,52] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:6:1] [-6:14:1] |
Generators of the group modulo torsion |
j |
277167808/127253 |
j-invariant |
L |
4.4052404196889 |
L(r)(E,1)/r! |
Ω |
2.0882923336195 |
Real period |
R |
1.0547470650466 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11872d1 23744s2 106848bk1 83104b1 |
Quadratic twists by: -4 8 -3 -7 |