Atkin-Lehner |
2+ 3- 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
110448o |
Isogeny class |
Conductor |
110448 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3059938989202987008 = 211 · 316 · 132 · 593 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 0 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-78856059,269526018058] |
[a1,a2,a3,a4,a6] |
Generators |
[8009:389484:1] |
Generators of the group modulo torsion |
j |
36322140746696723363954/2049534752499 |
j-invariant |
L |
9.2471200705892 |
L(r)(E,1)/r! |
Ω |
0.19027757085288 |
Real period |
R |
6.0747570074019 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016729 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55224s2 36816i2 |
Quadratic twists by: -4 -3 |