Atkin-Lehner |
2+ 3- 5+ 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
104310k |
Isogeny class |
Conductor |
104310 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
Δ |
-1.8294727884598E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 3 -6 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2169990,1392409116] |
[a1,a2,a3,a4,a6] |
Generators |
[-645:50556:1] |
Generators of the group modulo torsion |
j |
-1550134898897816147041/250956486757175880 |
j-invariant |
L |
2.7089693157265 |
L(r)(E,1)/r! |
Ω |
0.17343148003224 |
Real period |
R |
1.5619824569135 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000084377 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34770be2 |
Quadratic twists by: -3 |