Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
1530m |
Isogeny class |
Conductor |
1530 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
360 |
Modular degree for the optimal curve |
Δ |
-12393000 = -1 · 23 · 36 · 53 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 5 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-23,-169] |
[a1,a2,a3,a4,a6] |
j |
-1771561/17000 |
j-invariant |
L |
2.8620906908025 |
L(r)(E,1)/r! |
Ω |
0.9540302302675 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12240bt1 48960db1 170d1 7650q1 |
Quadratic twists by: -4 8 -3 5 |