Atkin-Lehner |
2- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
30272bd |
Isogeny class |
Conductor |
30272 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-644672512 = -1 · 210 · 114 · 43 |
Discriminant |
Eigenvalues |
2- 0 2 0 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-104,-1288] |
[a1,a2,a3,a4,a6] |
Generators |
[1114:37180:1] |
Generators of the group modulo torsion |
j |
-121485312/629563 |
j-invariant |
L |
6.1043824747844 |
L(r)(E,1)/r! |
Ω |
0.67364486104162 |
Real period |
R |
4.5308610128381 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30272d1 7568a1 |
Quadratic twists by: -4 8 |