Atkin-Lehner |
2- 3+ 7- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
24738j |
Isogeny class |
Conductor |
24738 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1863592180271388 = 22 · 312 · 7 · 194 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 -6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-148992,-22100091] |
[a1,a2,a3,a4,a6] |
j |
365773926336807002113/1863592180271388 |
j-invariant |
L |
3.8892152222094 |
L(r)(E,1)/r! |
Ω |
0.2430759513881 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74214j4 |
Quadratic twists by: -3 |