Atkin-Lehner |
2- 3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
1110i |
Isogeny class |
Conductor |
1110 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
323352324000 = 25 · 310 · 53 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -2 -2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-21146,-1192057] |
[a1,a2,a3,a4,a6] |
j |
1045706191321645729/323352324000 |
j-invariant |
L |
1.9795681341062 |
L(r)(E,1)/r! |
Ω |
0.39591362682124 |
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 |
8880t2 35520bh2 3330i2 5550o2 |
Quadratic twists by: -4 8 -3 5 |