Atkin-Lehner |
2+ 3- 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
24102o |
Isogeny class |
Conductor |
24102 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
11113829288933904 = 24 · 318 · 132 · 1032 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 0 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-115713,14305005] |
[a1,a2,a3,a4,a6] |
Generators |
[247:741:1] |
Generators of the group modulo torsion |
j |
235041610922990353/15245307666576 |
j-invariant |
L |
3.3185851828357 |
L(r)(E,1)/r! |
Ω |
0.39681344747687 |
Real period |
R |
4.1815432465014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8034j2 |
Quadratic twists by: -3 |