Atkin-Lehner |
3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
369b |
Isogeny class |
Conductor |
369 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-253377511587 = -1 · 37 · 415 |
Discriminant |
Eigenvalues |
2 3- 4 -2 3 -6 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,177,24201] |
[a1,a2,a3,a4,a6] |
j |
841232384/347568603 |
j-invariant |
L |
3.060436620844 |
L(r)(E,1)/r! |
Ω |
0.76510915521099 |
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 |
5904o2 23616m2 123a2 9225t2 |
Quadratic twists by: -4 8 -3 5 |