Atkin-Lehner |
2- 7+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
38192q |
Isogeny class |
Conductor |
38192 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
179423019302912 = 215 · 72 · 112 · 314 |
Discriminant |
Eigenvalues |
2- -2 -4 7+ 11- 0 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-80360,-8771276] |
[a1,a2,a3,a4,a6] |
Generators |
[-164:154:1] |
Generators of the group modulo torsion |
j |
14011639427134441/43804448072 |
j-invariant |
L |
1.7573134605699 |
L(r)(E,1)/r! |
Ω |
0.28360948276368 |
Real period |
R |
1.5490609159503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4774b2 |
Quadratic twists by: -4 |