Atkin-Lehner |
2+ 3- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
78078br |
Isogeny class |
Conductor |
78078 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
45760863502658304 = 28 · 38 · 7 · 116 · 133 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-95047,4604810] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:-2884:1] |
Generators of the group modulo torsion |
j |
43221748088287621/20828795404032 |
j-invariant |
L |
4.5764126539585 |
L(r)(E,1)/r! |
Ω |
0.31965643386529 |
Real period |
R |
0.29826376129298 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000487 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78078cv2 |
Quadratic twists by: 13 |