Atkin-Lehner |
3- 7+ 23+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
114471j |
Isogeny class |
Conductor |
114471 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
9953280 |
Modular degree for the optimal curve |
Δ |
-142969109799741939 = -1 · 37 · 78 · 23 · 793 |
Discriminant |
Eigenvalues |
0 3- 3 7+ 5 -6 -8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-40737486,100078193439] |
[a1,a2,a3,a4,a6] |
Generators |
[31266:189675:8] |
Generators of the group modulo torsion |
j |
-10256019938423734597746688/196116748696491 |
j-invariant |
L |
6.3512884851557 |
L(r)(E,1)/r! |
Ω |
0.23473042186976 |
Real period |
R |
1.1274082722631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38157j1 |
Quadratic twists by: -3 |