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 |
deg |
15872 |
Modular degree for the optimal curve |
Δ |
-7237458783 = -1 · 310 · 23 · 732 |
Discriminant |
Eigenvalues |
-1 3- -4 -2 2 -2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1967,34310] |
[a1,a2,a3,a4,a6] |
Generators |
[22:25:1] [24:10:1] |
Generators of the group modulo torsion |
j |
-1153990560169/9927927 |
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 |
5037h1 |
Quadratic twists by: -3 |