Atkin-Lehner |
2+ 3+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
17298d |
Isogeny class |
Conductor |
17298 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-22843833546819744 = -1 · 25 · 33 · 319 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -4 -3 -5 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-46308,-8209808] |
[a1,a2,a3,a4,a6] |
Generators |
[287:1298:1] [9587:933623:1] |
Generators of the group modulo torsion |
j |
-458314011/953312 |
j-invariant |
L |
5.6206542505978 |
L(r)(E,1)/r! |
Ω |
0.15267321014849 |
Real period |
R |
4.6018668281188 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17298n2 558b1 |
Quadratic twists by: -3 -31 |