Atkin-Lehner |
2- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
658f |
Isogeny class |
Conductor |
658 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96 |
Modular degree for the optimal curve |
Δ |
-5264 = -1 · 24 · 7 · 47 |
Discriminant |
Eigenvalues |
2- -3 -1 7- 1 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18,33] |
[a1,a2,a3,a4,a6] |
Generators |
[3:-3:1] |
Generators of the group modulo torsion |
j |
-611960049/5264 |
j-invariant |
L |
2.0088664210041 |
L(r)(E,1)/r! |
Ω |
4.321625495669 |
Real period |
R |
0.11621011717798 |
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 |
5264g1 21056l1 5922k1 16450c1 |
Quadratic twists by: -4 8 -3 5 |