Atkin-Lehner |
2- 3- 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
112464t |
Isogeny class |
Conductor |
112464 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
20988481536 = 212 · 38 · 11 · 71 |
Discriminant |
Eigenvalues |
2- 3- -1 -1 11+ 7 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4368,110896] |
[a1,a2,a3,a4,a6] |
Generators |
[41:27:1] |
Generators of the group modulo torsion |
j |
3086626816/7029 |
j-invariant |
L |
6.7106576206664 |
L(r)(E,1)/r! |
Ω |
1.2143558329827 |
Real period |
R |
1.3815262007397 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029088 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7029h1 37488bc1 |
Quadratic twists by: -4 -3 |