Atkin-Lehner |
3+ 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
52215c |
Isogeny class |
Conductor |
52215 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
779520 |
Modular degree for the optimal curve |
Δ |
27213403986495765 = 37 · 5 · 597 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 2 -3 -3 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-439766,-111821098] |
[a1,a2,a3,a4,a6] |
j |
222985990144/645165 |
j-invariant |
L |
0.74170222577818 |
L(r)(E,1)/r! |
Ω |
0.18542555650994 |
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 |
885a1 |
Quadratic twists by: -59 |