Atkin-Lehner |
2+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
1190c |
Isogeny class |
Conductor |
1190 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
528 |
Modular degree for the optimal curve |
Δ |
-60184250 = -1 · 2 · 53 · 72 · 173 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- 6 -7 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-43,-392] |
[a1,a2,a3,a4,a6] |
j |
-8502154921/60184250 |
j-invariant |
L |
1.6580790709562 |
L(r)(E,1)/r! |
Ω |
0.8290395354781 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
9520l1 38080k1 10710bf1 5950l1 |
Quadratic twists by: -4 8 -3 5 |