Atkin-Lehner |
5- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
1085d |
Isogeny class |
Conductor |
1085 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-808080875 = -1 · 53 · 7 · 314 |
Discriminant |
Eigenvalues |
0 3 5- 7+ 1 7 -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-832,-9338] |
[a1,a2,a3,a4,a6] |
j |
-63693291257856/808080875 |
j-invariant |
L |
2.6647839619951 |
L(r)(E,1)/r! |
Ω |
0.44413066033252 |
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 |
17360bo1 69440g1 9765a1 5425d1 |
Quadratic twists by: -4 8 -3 5 |