Atkin-Lehner |
2+ 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
738b |
Isogeny class |
Conductor |
738 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-8108080370784 = -1 · 25 · 37 · 415 |
Discriminant |
Eigenvalues |
2+ 3- -1 -2 -2 -1 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5215815,4586220189] |
[a1,a2,a3,a4,a6] |
j |
-21525971829968662032241/11122195296 |
j-invariant |
L |
0.89964802366803 |
L(r)(E,1)/r! |
Ω |
0.44982401183401 |
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 |
5904l2 23616f2 246b2 18450bl2 |
Quadratic twists by: -4 8 -3 5 |