Atkin-Lehner |
2+ 5- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
80080k |
Isogeny class |
Conductor |
80080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
4834269440 = 28 · 5 · 74 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 11+ 13- -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2687,-53506] |
[a1,a2,a3,a4,a6] |
Generators |
[410:8232:1] |
Generators of the group modulo torsion |
j |
8380824495696/18883865 |
j-invariant |
L |
5.4921544938538 |
L(r)(E,1)/r! |
Ω |
0.66319529385539 |
Real period |
R |
4.1406766194011 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984088 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40040s1 |
Quadratic twists by: -4 |