Atkin-Lehner |
2+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
9520d |
Isogeny class |
Conductor |
9520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
8704 |
Modular degree for the optimal curve |
Δ |
-47600000000 = -1 · 210 · 58 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 6 4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1627,27354] |
[a1,a2,a3,a4,a6] |
Generators |
[3:150:1] |
Generators of the group modulo torsion |
j |
-465142919364/46484375 |
j-invariant |
L |
5.0780075627608 |
L(r)(E,1)/r! |
Ω |
1.1041158290396 |
Real period |
R |
0.57489524980114 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4760c1 38080bg1 85680bn1 47600c1 |
Quadratic twists by: -4 8 -3 5 |