Atkin-Lehner |
2+ 3+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
17298a |
Isogeny class |
Conductor |
17298 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-18764040096 = -1 · 25 · 39 · 313 |
Discriminant |
Eigenvalues |
2+ 3+ 1 2 5 5 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-28824,-1876384] |
[a1,a2,a3,a4,a6] |
j |
-4516672077/32 |
j-invariant |
L |
2.9312312936113 |
L(r)(E,1)/r! |
Ω |
0.18320195585071 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17298m1 17298b1 |
Quadratic twists by: -3 -31 |