Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
43680bh |
Isogeny class |
Conductor |
43680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
130560 |
Modular degree for the optimal curve |
Δ |
2299752000 = 26 · 35 · 53 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 6 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-70866,7284816] |
[a1,a2,a3,a4,a6] |
Generators |
[203:1106:1] |
Generators of the group modulo torsion |
j |
614983729942899136/35933625 |
j-invariant |
L |
4.9006280751855 |
L(r)(E,1)/r! |
Ω |
1.0973464112361 |
Real period |
R |
4.4658897363741 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43680l1 87360du1 |
Quadratic twists by: -4 8 |