Atkin-Lehner |
2+ 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
12350f |
Isogeny class |
Conductor |
12350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1.4447753216E+19 |
Discriminant |
Eigenvalues |
2+ 1 5- -3 2 13+ -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-477576,222627798] |
[a1,a2,a3,a4,a6] |
j |
-6167651797092869/7397249646592 |
j-invariant |
L |
0.80485005457407 |
L(r)(E,1)/r! |
Ω |
0.20121251364352 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98800co2 111150ey2 12350x2 |
Quadratic twists by: -4 -3 5 |