Atkin-Lehner |
3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
38115k |
Isogeny class |
Conductor |
38115 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1255829910395445 = -1 · 310 · 5 · 74 · 116 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 11- 6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,19035,-1377810] |
[a1,a2,a3,a4,a6] |
Generators |
[11988:183141:64] |
Generators of the group modulo torsion |
j |
590589719/972405 |
j-invariant |
L |
6.340935539324 |
L(r)(E,1)/r! |
Ω |
0.25517405825537 |
Real period |
R |
6.2123630265106 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12705n4 315b4 |
Quadratic twists by: -3 -11 |