Atkin-Lehner |
2+ 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
3762k |
Isogeny class |
Conductor |
3762 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
Δ |
-5730054687233921286 = -1 · 2 · 311 · 119 · 193 |
Discriminant |
Eigenvalues |
2+ 3- -3 2 11- -4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,400239,-61464069] |
[a1,a2,a3,a4,a6] |
j |
9726437216910146543/7860157321308534 |
j-invariant |
L |
0.79909540685127 |
L(r)(E,1)/r! |
Ω |
0.13318256780855 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
30096z2 120384w2 1254j2 94050dl2 |
Quadratic twists by: -4 8 -3 5 |