Atkin-Lehner |
3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
1575b |
Isogeny class |
Conductor |
1575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-1883724609375 = -1 · 39 · 59 · 72 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7+ 0 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2320,-50678] |
[a1,a2,a3,a4,a6] |
j |
35937/49 |
j-invariant |
L |
0.88694744279329 |
L(r)(E,1)/r! |
Ω |
0.44347372139664 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25200dj1 100800bp1 1575a1 1575c1 |
Quadratic twists by: -4 8 -3 5 |