Atkin-Lehner |
2+ 5- 31+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
13330b |
Isogeny class |
Conductor |
13330 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-286259570278400000 = -1 · 236 · 55 · 31 · 43 |
Discriminant |
Eigenvalues |
2+ 1 5- -2 -5 -2 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-296113,-67174844] |
[a1,a2,a3,a4,a6] |
j |
-2871402185724365320201/286259570278400000 |
j-invariant |
L |
1.0175541581154 |
L(r)(E,1)/r! |
Ω |
0.10175541581154 |
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 |
106640e1 119970bs1 66650l1 |
Quadratic twists by: -4 -3 5 |