Atkin-Lehner |
2+ 5+ 17- 103- |
Signs for the Atkin-Lehner involutions |
Class |
17510c |
Isogeny class |
Conductor |
17510 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
2606100850000000 = 27 · 58 · 173 · 1032 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 0 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3352600,2363603136] |
[a1,a2,a3,a4,a6] |
Generators |
[-205:55259:1] |
Generators of the group modulo torsion |
j |
4167436652572463982807129/2606100850000000 |
j-invariant |
L |
3.5412593026224 |
L(r)(E,1)/r! |
Ω |
0.37632301881458 |
Real period |
R |
3.1367195428521 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87550i2 |
Quadratic twists by: 5 |