Atkin-Lehner |
2- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
53200cp |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
174325760000000 = 224 · 57 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14075,-97750] |
[a1,a2,a3,a4,a6] |
j |
4818245769/2723840 |
j-invariant |
L |
1.8900112287315 |
L(r)(E,1)/r! |
Ω |
0.47250280763352 |
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 |
6650r1 10640l1 |
Quadratic twists by: -4 5 |