Atkin-Lehner |
2- 3- 5- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
115440dc |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
62175621980160 = 213 · 38 · 5 · 132 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 2 13+ -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13840,494228] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:888:1] |
Generators of the group modulo torsion |
j |
71581931663761/15179595210 |
j-invariant |
L |
10.988972173915 |
L(r)(E,1)/r! |
Ω |
0.58831116291258 |
Real period |
R |
0.58371386195767 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999853914 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14430bc2 |
Quadratic twists by: -4 |