Atkin-Lehner |
2- 5+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
40880t |
Isogeny class |
Conductor |
40880 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
14880 |
Modular degree for the optimal curve |
Δ |
-25550000 = -1 · 24 · 55 · 7 · 73 |
Discriminant |
Eigenvalues |
2- -3 5+ 7- -4 6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,32,-233] |
[a1,a2,a3,a4,a6] |
Generators |
[9:28:1] |
Generators of the group modulo torsion |
j |
226492416/1596875 |
j-invariant |
L |
2.7580550044595 |
L(r)(E,1)/r! |
Ω |
1.0556911988722 |
Real period |
R |
2.6125584900301 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999847 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10220b1 |
Quadratic twists by: -4 |