Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
3696y |
Isogeny class |
Conductor |
3696 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
-487018224 = -1 · 24 · 33 · 7 · 115 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 11+ -1 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,14,-1057] |
[a1,a2,a3,a4,a6] |
j |
17643776/30438639 |
j-invariant |
L |
2.311831783533 |
L(r)(E,1)/r! |
Ω |
0.77061059451099 |
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 |
924b1 14784ca1 11088bw1 92400di1 |
Quadratic twists by: -4 8 -3 5 |