Atkin-Lehner |
2+ 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
43680n |
Isogeny class |
Conductor |
43680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
1135680 = 26 · 3 · 5 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -6 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26,0] |
[a1,a2,a3,a4,a6] |
Generators |
[9:24:1] |
Generators of the group modulo torsion |
j |
31554496/17745 |
j-invariant |
L |
5.763908669394 |
L(r)(E,1)/r! |
Ω |
2.3714217970142 |
Real period |
R |
2.4305708400961 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43680bi1 87360v1 |
Quadratic twists by: -4 8 |