Atkin-Lehner |
2+ 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
111720v |
Isogeny class |
Conductor |
111720 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
181774856553292800 = 210 · 33 · 52 · 712 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-164656,15455600] |
[a1,a2,a3,a4,a6] |
j |
4097989445764/1508848425 |
j-invariant |
L |
3.513062149385 |
L(r)(E,1)/r! |
Ω |
0.29275518951796 |
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 |
15960a1 |
Quadratic twists by: -7 |