Atkin-Lehner |
7- 29+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
58261c |
Isogeny class |
Conductor |
58261 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
38752 |
Modular degree for the optimal curve |
Δ |
-47980438723 = -1 · 79 · 29 · 41 |
Discriminant |
Eigenvalues |
0 0 -2 7- 5 5 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-686,12605] |
[a1,a2,a3,a4,a6] |
j |
-884736/1189 |
j-invariant |
L |
2.0399984253779 |
L(r)(E,1)/r! |
Ω |
1.019999211436 |
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 |
58261g1 |
Quadratic twists by: -7 |