Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
119952u |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-7928347392 = -1 · 28 · 37 · 72 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 4 -5 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,420,2716] |
[a1,a2,a3,a4,a6] |
Generators |
[9:85:1] |
Generators of the group modulo torsion |
j |
896000/867 |
j-invariant |
L |
6.7087493266586 |
L(r)(E,1)/r! |
Ω |
0.86331485724736 |
Real period |
R |
1.9427296050905 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998551 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59976bg1 39984w1 119952p1 |
Quadratic twists by: -4 -3 -7 |