Atkin-Lehner |
2+ 3+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
111720q |
Isogeny class |
Conductor |
111720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
903168 |
Modular degree for the optimal curve |
Δ |
-25040413912953600 = -1 · 28 · 36 · 52 · 710 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -3 0 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-156865,-25043675] |
[a1,a2,a3,a4,a6] |
j |
-5903156224/346275 |
j-invariant |
L |
1.9126388351308 |
L(r)(E,1)/r! |
Ω |
0.11953995117157 |
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 |
111720r1 |
Quadratic twists by: -7 |