Atkin-Lehner |
2- 3- 5+ 19- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
104310bu |
Isogeny class |
Conductor |
104310 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
-688185290193750 = -1 · 2 · 36 · 55 · 195 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 3 2 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-46823,4110581] |
[a1,a2,a3,a4,a6] |
j |
-15572745859032361/944012743750 |
j-invariant |
L |
5.0209000195305 |
L(r)(E,1)/r! |
Ω |
0.50209000400475 |
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 |
11590f1 |
Quadratic twists by: -3 |