Atkin-Lehner |
2- 5- 17- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
17510k |
Isogeny class |
Conductor |
17510 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
14112 |
Modular degree for the optimal curve |
Δ |
-180353000 = -1 · 23 · 53 · 17 · 1032 |
Discriminant |
Eigenvalues |
2- 1 5- 2 0 1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3825,-91375] |
[a1,a2,a3,a4,a6] |
j |
-6189066183430801/180353000 |
j-invariant |
L |
5.4636497835226 |
L(r)(E,1)/r! |
Ω |
0.30353609908459 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87550c1 |
Quadratic twists by: 5 |