Atkin-Lehner |
2- 7+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
69454s |
Isogeny class |
Conductor |
69454 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
Δ |
-13390073331712 = -1 · 215 · 72 · 112 · 413 |
Discriminant |
Eigenvalues |
2- -2 0 7+ 11- -5 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2428,181776] |
[a1,a2,a3,a4,a6] |
Generators |
[440:-9404:1] [-40:484:1] |
Generators of the group modulo torsion |
j |
-13082645343625/110661763072 |
j-invariant |
L |
10.561280896752 |
L(r)(E,1)/r! |
Ω |
0.60563135925092 |
Real period |
R |
0.1937607155355 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69454i2 |
Quadratic twists by: -11 |