Atkin-Lehner |
2- 3- 5+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
58410ba |
Isogeny class |
Conductor |
58410 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-386421576750000000 = -1 · 27 · 39 · 59 · 113 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 11+ 5 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-42503,30108287] |
[a1,a2,a3,a4,a6] |
j |
-11647839013779241/530070750000000 |
j-invariant |
L |
3.4930865192994 |
L(r)(E,1)/r! |
Ω |
0.24950617979236 |
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 |
19470p1 |
Quadratic twists by: -3 |