Atkin-Lehner |
3- 23+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
15111d |
Isogeny class |
Conductor |
15111 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
253366137 = 38 · 232 · 73 |
Discriminant |
Eigenvalues |
-1 3- -4 -2 2 -2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-31532,2162990] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:1860:1] [12:1330:1] |
Generators of the group modulo torsion |
j |
4755955967570809/347553 |
j-invariant |
L |
3.4959292884913 |
L(r)(E,1)/r! |
Ω |
1.3308357622095 |
Real period |
R |
1.3134337788933 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5037h2 |
Quadratic twists by: -3 |