Atkin-Lehner |
3+ 5- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
17595h |
Isogeny class |
Conductor |
17595 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-139616325 = -1 · 33 · 52 · 17 · 233 |
Discriminant |
Eigenvalues |
-1 3+ 5- -2 -5 -1 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-92,684] |
[a1,a2,a3,a4,a6] |
Generators |
[32:156:1] |
Generators of the group modulo torsion |
j |
-3157114563/5170975 |
j-invariant |
L |
2.6395373286974 |
L(r)(E,1)/r! |
Ω |
1.648817728158 |
Real period |
R |
0.13340555496322 |
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 |
17595c1 87975h1 |
Quadratic twists by: -3 5 |