Atkin-Lehner |
2+ 3- 5- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
70950z |
Isogeny class |
Conductor |
70950 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1305600 |
Modular degree for the optimal curve |
Δ |
-2457855576000000000 = -1 · 212 · 310 · 59 · 112 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11- -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-634451,-208677202] |
[a1,a2,a3,a4,a6] |
Generators |
[14166:512663:8] |
Generators of the group modulo torsion |
j |
-14460621134147189/1258422054912 |
j-invariant |
L |
5.351287867897 |
L(r)(E,1)/r! |
Ω |
0.084162371601332 |
Real period |
R |
3.1791451256652 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982827 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70950bn1 |
Quadratic twists by: 5 |