Atkin-Lehner |
2+ 3+ 41+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
17958b |
Isogeny class |
Conductor |
17958 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
10487472 = 24 · 3 · 41 · 732 |
Discriminant |
Eigenvalues |
2+ 3+ -4 4 -2 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10497,409605] |
[a1,a2,a3,a4,a6] |
Generators |
[59:-26:1] |
Generators of the group modulo torsion |
j |
127933401697746841/10487472 |
j-invariant |
L |
2.3574432182545 |
L(r)(E,1)/r! |
Ω |
1.7433963667671 |
Real period |
R |
1.3522129925199 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53874i2 |
Quadratic twists by: -3 |