Atkin-Lehner |
2- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
59488n |
Isogeny class |
Conductor |
59488 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
470374931147264 = 29 · 114 · 137 |
Discriminant |
Eigenvalues |
2- 0 -2 4 11+ 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30251,-1735630] |
[a1,a2,a3,a4,a6] |
j |
1238833224/190333 |
j-invariant |
L |
0.73148697742438 |
L(r)(E,1)/r! |
Ω |
0.36574348692829 |
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 |
59488t3 118976cv4 4576d2 |
Quadratic twists by: -4 8 13 |