Atkin-Lehner |
2+ 3- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
120768bp |
Isogeny class |
Conductor |
120768 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
6.3395387251743E+20 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2733889,1247968031] |
[a1,a2,a3,a4,a6] |
j |
17240766793979723426/4836684208049217 |
j-invariant |
L |
4.8351555324025 |
L(r)(E,1)/r! |
Ω |
0.15109855944525 |
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 |
120768ct4 15096f3 |
Quadratic twists by: -4 8 |