Atkin-Lehner |
3+ 7+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
40887d |
Isogeny class |
Conductor |
40887 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
9444897 = 33 · 72 · 112 · 59 |
Discriminant |
Eigenvalues |
-1 3+ 0 7+ 11- -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-170,880] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:40:1] |
Generators of the group modulo torsion |
j |
20012875875/349811 |
j-invariant |
L |
2.5638468465205 |
L(r)(E,1)/r! |
Ω |
2.3058889977489 |
Real period |
R |
0.55593457643041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40887a1 |
Quadratic twists by: -3 |