Atkin-Lehner |
2+ 5+ 17- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
17510b |
Isogeny class |
Conductor |
17510 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5504 |
Modular degree for the optimal curve |
Δ |
-595340 = -1 · 22 · 5 · 172 · 103 |
Discriminant |
Eigenvalues |
2+ -3 5+ -2 2 4 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,20,-20] |
[a1,a2,a3,a4,a6] |
Generators |
[2:4:1] [6:14:1] |
Generators of the group modulo torsion |
j |
860085351/595340 |
j-invariant |
L |
3.3007655045503 |
L(r)(E,1)/r! |
Ω |
1.6395589732264 |
Real period |
R |
0.50330082028914 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87550m1 |
Quadratic twists by: 5 |