Atkin-Lehner |
2+ 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616j |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-2105010135519984 = -1 · 24 · 39 · 73 · 117 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 11+ -5 -8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-42903,-4070871] |
[a1,a2,a3,a4,a6] |
j |
-80850237696/19487171 |
j-invariant |
L |
0.65510609974226 |
L(r)(E,1)/r! |
Ω |
0.1637765329669 |
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 |
38808bt1 77616s1 77616h1 |
Quadratic twists by: -4 -3 -7 |