Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360gk |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
29073408000 = 216 · 3 · 53 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 13- -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3361,73439] |
[a1,a2,a3,a4,a6] |
Generators |
[175:2208:1] |
Generators of the group modulo torsion |
j |
64088267044/443625 |
j-invariant |
L |
8.1067834391527 |
L(r)(E,1)/r! |
Ω |
1.1855755363743 |
Real period |
R |
3.4189232089208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005767 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360h1 21840i1 |
Quadratic twists by: -4 8 |