Atkin-Lehner |
7- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
24157a |
Isogeny class |
Conductor |
24157 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-6902113883 = -1 · 77 · 172 · 29 |
Discriminant |
Eigenvalues |
0 -1 -4 7- -4 -2 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1045,13957] |
[a1,a2,a3,a4,a6] |
Generators |
[19:-25:1] [-7:144:1] |
Generators of the group modulo torsion |
j |
-1073741824/58667 |
j-invariant |
L |
3.9382846125563 |
L(r)(E,1)/r! |
Ω |
1.3126397438081 |
Real period |
R |
0.37503479449855 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999967 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3451b1 |
Quadratic twists by: -7 |