Atkin-Lehner |
2+ 5- 17+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
17510g |
Isogeny class |
Conductor |
17510 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15840 |
Modular degree for the optimal curve |
Δ |
-29549035520 = -1 · 215 · 5 · 17 · 1032 |
Discriminant |
Eigenvalues |
2+ -1 5- 2 -4 -5 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-357,-8819] |
[a1,a2,a3,a4,a6] |
Generators |
[165:2029:1] |
Generators of the group modulo torsion |
j |
-5053913144281/29549035520 |
j-invariant |
L |
2.8265615410353 |
L(r)(E,1)/r! |
Ω |
0.49172742976999 |
Real period |
R |
2.8741141635697 |
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 |
87550o1 |
Quadratic twists by: 5 |