Atkin-Lehner |
3+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
1617c |
Isogeny class |
Conductor |
1617 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2520 |
Modular degree for the optimal curve |
Δ |
-169502443803 = -1 · 35 · 78 · 112 |
Discriminant |
Eigenvalues |
-2 3+ 0 7+ 11+ -5 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,572,18906] |
[a1,a2,a3,a4,a6] |
Generators |
[33:-270:1] |
Generators of the group modulo torsion |
j |
3584000/29403 |
j-invariant |
L |
1.2671375849258 |
L(r)(E,1)/r! |
Ω |
0.74396167011029 |
Real period |
R |
0.283871610558 |
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 |
25872ch1 103488cn1 4851i1 40425bu1 |
Quadratic twists by: -4 8 -3 5 |