Atkin-Lehner |
2- 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
3696n |
Isogeny class |
Conductor |
3696 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-161864220672 = -1 · 218 · 36 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 11- 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1232,-10304] |
[a1,a2,a3,a4,a6] |
Generators |
[10:54:1] |
Generators of the group modulo torsion |
j |
50447927375/39517632 |
j-invariant |
L |
2.9985944629888 |
L(r)(E,1)/r! |
Ω |
0.56885607798039 |
Real period |
R |
1.3178177130649 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
462g1 14784cc1 11088bf1 92400he1 |
Quadratic twists by: -4 8 -3 5 |