Atkin-Lehner |
3- 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
58443q |
Isogeny class |
Conductor |
58443 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
357000 |
Modular degree for the optimal curve |
Δ |
-36664345150587 = -1 · 35 · 7 · 116 · 233 |
Discriminant |
Eigenvalues |
-2 3- 4 7- 11- 2 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-11656,561358] |
[a1,a2,a3,a4,a6] |
j |
-98867482624/20696067 |
j-invariant |
L |
3.1131544738702 |
L(r)(E,1)/r! |
Ω |
0.62263089485302 |
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 |
483a1 |
Quadratic twists by: -11 |