Atkin-Lehner |
2- 3- 5+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
77550bw |
Isogeny class |
Conductor |
77550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
602112 |
Modular degree for the optimal curve |
Δ |
-14121621080428950 = -1 · 2 · 38 · 52 · 117 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ -1 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-106988,14623782] |
[a1,a2,a3,a4,a6] |
j |
-5417378305779195625/564864843217158 |
j-invariant |
L |
6.1757688578767 |
L(r)(E,1)/r! |
Ω |
0.38598555405244 |
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 |
77550j1 |
Quadratic twists by: 5 |