Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
103488by |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-73149930394877952 = -1 · 219 · 34 · 76 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11- -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-37697,13326657] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:3872:1] |
Generators of the group modulo torsion |
j |
-192100033/2371842 |
j-invariant |
L |
6.1174852254664 |
L(r)(E,1)/r! |
Ω |
0.29319356159319 |
Real period |
R |
1.3040628278416 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000040683 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103488ht3 3234t4 2112r4 |
Quadratic twists by: -4 8 -7 |