Atkin-Lehner |
2- 3- 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
104370dn |
Isogeny class |
Conductor |
104370 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
172938806384400 = 24 · 36 · 52 · 76 · 712 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-13966,55796] |
[a1,a2,a3,a4,a6] |
Generators |
[-94:782:1] |
Generators of the group modulo torsion |
j |
2560669500241/1469955600 |
j-invariant |
L |
10.480088113269 |
L(r)(E,1)/r! |
Ω |
0.48838870453138 |
Real period |
R |
0.89410408896975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007436 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2130l2 |
Quadratic twists by: -7 |