Atkin-Lehner |
2- 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
80360p |
Isogeny class |
Conductor |
80360 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-50865506487040 = -1 · 28 · 5 · 73 · 415 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- -6 -2 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,159,-343085] |
[a1,a2,a3,a4,a6] |
Generators |
[821:-23534:1] [165:2050:1] |
Generators of the group modulo torsion |
j |
5030912/579281005 |
j-invariant |
L |
6.3229702263573 |
L(r)(E,1)/r! |
Ω |
0.29122287521939 |
Real period |
R |
1.0855895543105 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000108 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80360s1 |
Quadratic twists by: -7 |