Atkin-Lehner |
3+ 5- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
6195d |
Isogeny class |
Conductor |
6195 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26400 |
Modular degree for the optimal curve |
Δ |
249990595365 = 3 · 5 · 710 · 59 |
Discriminant |
Eigenvalues |
-2 3+ 5- 7+ 1 5 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-59710,-5595984] |
[a1,a2,a3,a4,a6] |
j |
23543563594568052736/249990595365 |
j-invariant |
L |
0.61082591344724 |
L(r)(E,1)/r! |
Ω |
0.30541295672362 |
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 |
99120db1 18585i1 30975u1 43365p1 |
Quadratic twists by: -4 -3 5 -7 |