Atkin-Lehner |
7+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
58121a |
Isogeny class |
Conductor |
58121 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-33268880854695367 = -1 · 7 · 198 · 234 |
Discriminant |
Eigenvalues |
1 0 2 7+ 4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-44651,9508520] |
[a1,a2,a3,a4,a6] |
Generators |
[113672254:1600382735:551368] |
Generators of the group modulo torsion |
j |
-209267191953/707158207 |
j-invariant |
L |
7.9645946798795 |
L(r)(E,1)/r! |
Ω |
0.32325526515926 |
Real period |
R |
12.319358009512 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999578 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3059a1 |
Quadratic twists by: -19 |