Atkin-Lehner |
5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
1175c |
Isogeny class |
Conductor |
1175 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
432 |
Modular degree for the optimal curve |
Δ |
-91796875 = -1 · 59 · 47 |
Discriminant |
Eigenvalues |
-2 -2 5+ 2 0 -3 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,92,344] |
[a1,a2,a3,a4,a6] |
Generators |
[13:62:1] |
Generators of the group modulo torsion |
j |
5451776/5875 |
j-invariant |
L |
1.0278129426642 |
L(r)(E,1)/r! |
Ω |
1.263528440759 |
Real period |
R |
0.20336165564403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18800bg1 75200k1 10575r1 235c1 |
Quadratic twists by: -4 8 -3 5 |