Atkin-Lehner |
2+ 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99008b |
Isogeny class |
Conductor |
99008 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2868480 |
Modular degree for the optimal curve |
Δ |
-9.7228450531536E+19 |
Discriminant |
Eigenvalues |
2+ 0 -3 7+ 4 13+ 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,88006,-474304626] |
[a1,a2,a3,a4,a6] |
Generators |
[921439964388179043:117893855871133894923:56300788871783] |
Generators of the group modulo torsion |
j |
1177824501799285248/1519194539555253379 |
j-invariant |
L |
4.1932563863536 |
L(r)(E,1)/r! |
Ω |
0.088254122191058 |
Real period |
R |
23.7567168663 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99008s1 49504b1 |
Quadratic twists by: -4 8 |