Atkin-Lehner |
2- 3- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
129150dd |
Isogeny class |
Conductor |
129150 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
1080846018000000 = 27 · 38 · 56 · 72 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1381055,-624342553] |
[a1,a2,a3,a4,a6] |
j |
25574596275390625/94889088 |
j-invariant |
L |
3.8994639969896 |
L(r)(E,1)/r! |
Ω |
0.13926658693709 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43050v2 5166g2 |
Quadratic twists by: -3 5 |