Atkin-Lehner |
2- 31+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
73408w |
Isogeny class |
Conductor |
73408 |
Conductor |
∏ cp |
2 |
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 |
0.52774097034474 |
L(r)(E,1)/r! |
Ω |
0.26387050252014 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73408k2 18352i2 |
Quadratic twists by: -4 8 |