Atkin-Lehner |
2+ 5- 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
104720l |
Isogeny class |
Conductor |
104720 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
-4984672000 = -1 · 28 · 53 · 72 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 11- -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,300,-2848] |
[a1,a2,a3,a4,a6] |
j |
11625163184/19471375 |
j-invariant |
L |
4.3121737732959 |
L(r)(E,1)/r! |
Ω |
0.71869564794069 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52360k1 |
Quadratic twists by: -4 |