Atkin-Lehner |
2- 3- 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
112464u |
Isogeny class |
Conductor |
112464 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
1555667563228416 = 28 · 312 · 115 · 71 |
Discriminant |
Eigenvalues |
2- 3- -1 -3 11+ -5 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1239888,-531396916] |
[a1,a2,a3,a4,a6] |
Generators |
[-5134:243:8] |
Generators of the group modulo torsion |
j |
1129545133666533376/8335838709 |
j-invariant |
L |
3.3298058873982 |
L(r)(E,1)/r! |
Ω |
0.14307183020708 |
Real period |
R |
2.9092081703119 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999650392 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28116h1 37488r1 |
Quadratic twists by: -4 -3 |