Atkin-Lehner |
3- 5- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
78585r |
Isogeny class |
Conductor |
78585 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
329472 |
Modular degree for the optimal curve |
Δ |
-4807814903233875 = -1 · 32 · 53 · 1310 · 31 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 -4 13+ 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-595,-3336100] |
[a1,a2,a3,a4,a6] |
Generators |
[245:3230:1] |
Generators of the group modulo torsion |
j |
-169/34875 |
j-invariant |
L |
5.0344880973568 |
L(r)(E,1)/r! |
Ω |
0.19813977888989 |
Real period |
R |
4.23479502481 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999964199 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78585i1 |
Quadratic twists by: 13 |