Atkin-Lehner |
2+ 3- 5- 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
85410l |
Isogeny class |
Conductor |
85410 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
32644210360320 = 220 · 38 · 5 · 13 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11079,-352067] |
[a1,a2,a3,a4,a6] |
j |
206309829721969/44779438080 |
j-invariant |
L |
1.8900799848488 |
L(r)(E,1)/r! |
Ω |
0.47251997584547 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28470k1 |
Quadratic twists by: -3 |