Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
3528v |
Isogeny class |
Conductor |
3528 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-17777055744 = -1 · 211 · 311 · 72 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -3 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,357,-5866] |
[a1,a2,a3,a4,a6] |
j |
68782/243 |
j-invariant |
L |
1.2510731852869 |
L(r)(E,1)/r! |
Ω |
0.62553659264343 |
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 |
7056t1 28224bq1 1176b1 88200cq1 |
Quadratic twists by: -4 8 -3 5 |