Atkin-Lehner |
2- 7+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
38192n |
Isogeny class |
Conductor |
38192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-39108608 = -1 · 214 · 7 · 11 · 31 |
Discriminant |
Eigenvalues |
2- -3 0 7+ 11+ -4 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-115,562] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:32:1] [9:16:1] |
Generators of the group modulo torsion |
j |
-41063625/9548 |
j-invariant |
L |
5.1863284739447 |
L(r)(E,1)/r! |
Ω |
1.9524577720617 |
Real period |
R |
0.66407690708539 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4774f1 |
Quadratic twists by: -4 |