Atkin-Lehner |
2+ 7- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
38192f |
Isogeny class |
Conductor |
38192 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-119770112 = -1 · 210 · 73 · 11 · 31 |
Discriminant |
Eigenvalues |
2+ -1 0 7- 11+ 4 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,72,448] |
[a1,a2,a3,a4,a6] |
Generators |
[4:-28:1] |
Generators of the group modulo torsion |
j |
39753500/116963 |
j-invariant |
L |
4.7096902114838 |
L(r)(E,1)/r! |
Ω |
1.3121306181729 |
Real period |
R |
0.29911213019086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19096d1 |
Quadratic twists by: -4 |