Atkin-Lehner |
2- 3- 7+ 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
123354bo |
Isogeny class |
Conductor |
123354 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
190915708883385024 = 26 · 36 · 72 · 113 · 894 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11+ 4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4078436,-3169124409] |
[a1,a2,a3,a4,a6] |
Generators |
[3531:160853:1] |
Generators of the group modulo torsion |
j |
10291461147845646790393/261887117809856 |
j-invariant |
L |
10.041963531652 |
L(r)(E,1)/r! |
Ω |
0.10623724827189 |
Real period |
R |
7.8769952029249 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999915716 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13706c2 |
Quadratic twists by: -3 |