Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
110880bx |
Isogeny class |
Conductor |
110880 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
62240270400 = 26 · 38 · 52 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1137,-8584] |
[a1,a2,a3,a4,a6] |
Generators |
[52:270:1] |
Generators of the group modulo torsion |
j |
3484156096/1334025 |
j-invariant |
L |
7.9466096317945 |
L(r)(E,1)/r! |
Ω |
0.84917330912448 |
Real period |
R |
2.3395134877928 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999888166 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
110880br1 36960bf1 |
Quadratic twists by: -4 -3 |