Atkin-Lehner |
2+ 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
23408d |
Isogeny class |
Conductor |
23408 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
8703391026176 = 210 · 72 · 113 · 194 |
Discriminant |
Eigenvalues |
2+ -2 2 7- 11+ 4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-27552,1745380] |
[a1,a2,a3,a4,a6] |
j |
2258909892989572/8499405299 |
j-invariant |
L |
1.4732858484683 |
L(r)(E,1)/r! |
Ω |
0.73664292423414 |
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 |
11704f2 93632bf2 |
Quadratic twists by: -4 8 |