Atkin-Lehner |
3+ 7- 37+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
109557d |
Isogeny class |
Conductor |
109557 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
15447537 = 33 · 7 · 37 · 472 |
Discriminant |
Eigenvalues |
1 3+ -2 7- 0 -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-63,56] |
[a1,a2,a3,a4,a6] |
Generators |
[8:0:1] |
Generators of the group modulo torsion |
j |
1033364331/572131 |
j-invariant |
L |
4.5378212216162 |
L(r)(E,1)/r! |
Ω |
1.917574158041 |
Real period |
R |
2.3664384552458 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999851081 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109557a1 |
Quadratic twists by: -3 |