Atkin-Lehner |
2- 5- 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
78320bj |
Isogeny class |
Conductor |
78320 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
485208064000 = 215 · 53 · 113 · 89 |
Discriminant |
Eigenvalues |
2- -1 5- 1 11+ 2 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3800,-82448] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:80:1] |
Generators of the group modulo torsion |
j |
1481933914201/118459000 |
j-invariant |
L |
5.3579542124093 |
L(r)(E,1)/r! |
Ω |
0.61114079790317 |
Real period |
R |
0.73059462885854 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987246 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9790e1 |
Quadratic twists by: -4 |