Atkin-Lehner |
2- 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
1378b |
Isogeny class |
Conductor |
1378 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-2.5378455788181E+19 |
Discriminant |
Eigenvalues |
2- -2 -2 2 2 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-60444,-242449136] |
[a1,a2,a3,a4,a6] |
j |
-24422141990793871297/25378455788181323776 |
j-invariant |
L |
1.5314060954058 |
L(r)(E,1)/r! |
Ω |
0.095712880962863 |
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 |
11024e2 44096i2 12402d2 34450j2 |
Quadratic twists by: -4 8 -3 5 |