Atkin-Lehner |
2- 3- 5+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
65550cc |
Isogeny class |
Conductor |
65550 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
688128 |
Modular degree for the optimal curve |
Δ |
-62051549385937500 = -1 · 22 · 314 · 58 · 192 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 2 -6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,71662,-9434208] |
[a1,a2,a3,a4,a6] |
j |
2604774197916071/3971299160700 |
j-invariant |
L |
5.1843036649057 |
L(r)(E,1)/r! |
Ω |
0.18515370201584 |
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 |
13110a1 |
Quadratic twists by: 5 |