Atkin-Lehner |
2- 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
43680bi |
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] |
j |
31554496/17745 |
j-invariant |
L |
2.2677362941895 |
L(r)(E,1)/r! |
Ω |
2.2677362942159 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43680n1 87360do1 |
Quadratic twists by: -4 8 |