Atkin-Lehner |
3+ 7- 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
80073d |
Isogeny class |
Conductor |
80073 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10848 |
Modular degree for the optimal curve |
Δ |
-240219 = -1 · 33 · 7 · 31 · 41 |
Discriminant |
Eigenvalues |
0 3+ 3 7- -6 -6 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6,24] |
[a1,a2,a3,a4,a6] |
Generators |
[2:4:1] |
Generators of the group modulo torsion |
j |
-884736/8897 |
j-invariant |
L |
5.2464756416071 |
L(r)(E,1)/r! |
Ω |
2.6670463639164 |
Real period |
R |
0.98357413510953 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000448 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80073c1 |
Quadratic twists by: -3 |