Atkin-Lehner |
2- 3- 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
116550ef |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
440118441000000000 = 29 · 38 · 59 · 72 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3763199480,-88854489342853] |
[a1,a2,a3,a4,a6] |
j |
517425559361898728438440369/38638656000 |
j-invariant |
L |
1.3878508508416 |
L(r)(E,1)/r! |
Ω |
0.019275703825669 |
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 |
38850bd2 23310w2 |
Quadratic twists by: -3 5 |