Atkin-Lehner |
2+ 31- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
73408k |
Isogeny class |
Conductor |
73408 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
Δ |
1940879783570536768 = 26 · 3110 · 37 |
Discriminant |
Eigenvalues |
2+ 1 4 3 3 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1174241,-485543983] |
[a1,a2,a3,a4,a6] |
j |
2797794606468551643136/30326246618289637 |
j-invariant |
L |
5.8050319116584 |
L(r)(E,1)/r! |
Ω |
0.14512579771028 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73408w2 1147b2 |
Quadratic twists by: -4 8 |