Atkin-Lehner |
2+ 3- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
46176m |
Isogeny class |
Conductor |
46176 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
11926352333376 = 26 · 318 · 13 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 4 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7202,164160] |
[a1,a2,a3,a4,a6] |
Generators |
[13:270:1] |
Generators of the group modulo torsion |
j |
645599803874752/186349255209 |
j-invariant |
L |
9.8253624199424 |
L(r)(E,1)/r! |
Ω |
0.66423888469408 |
Real period |
R |
1.6435456591062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46176s1 92352c2 |
Quadratic twists by: -4 8 |