Atkin-Lehner |
3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
1395a |
Isogeny class |
Conductor |
1395 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
256 |
Modular degree for the optimal curve |
Δ |
338985 = 37 · 5 · 31 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-90,351] |
[a1,a2,a3,a4,a6] |
j |
111284641/465 |
j-invariant |
L |
1.5269287166623 |
L(r)(E,1)/r! |
Ω |
3.0538574333247 |
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 |
22320bt1 89280cn1 465b1 6975g1 |
Quadratic twists by: -4 8 -3 5 |