Atkin-Lehner |
3+ 5+ 29+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
128325c |
Isogeny class |
Conductor |
128325 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4838400 |
Modular degree for the optimal curve |
Δ |
8.3458946242028E+20 |
Discriminant |
Eigenvalues |
0 3+ 5+ 1 -6 -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2356283,-77900407] |
[a1,a2,a3,a4,a6] |
j |
92594719462183174144/53413725594898125 |
j-invariant |
L |
0.7972801921405 |
L(r)(E,1)/r! |
Ω |
0.13287974406553 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25665i1 |
Quadratic twists by: 5 |