Atkin-Lehner |
3+ 5+ 11- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40755f |
Isogeny class |
Conductor |
40755 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-18628417665 = -1 · 38 · 5 · 112 · 13 · 192 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -2 11- 13- 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6,6564] |
[a1,a2,a3,a4,a6] |
Generators |
[1:-82:1] |
Generators of the group modulo torsion |
j |
-24137569/18628417665 |
j-invariant |
L |
2.3283162673571 |
L(r)(E,1)/r! |
Ω |
0.97378925698945 |
Real period |
R |
1.1954928906046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122265w2 |
Quadratic twists by: -3 |