Atkin-Lehner |
2+ 3- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
127296bq |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-122901557339897856 = -1 · 214 · 312 · 132 · 174 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 -2 13- 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,94884,-12567440] |
[a1,a2,a3,a4,a6] |
j |
7909612346288/10289870721 |
j-invariant |
L |
1.4125934567316 |
L(r)(E,1)/r! |
Ω |
0.17657426559773 |
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 |
127296ds2 7956c2 42432y2 |
Quadratic twists by: -4 8 -3 |