Atkin-Lehner |
2- 7+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
38192p |
Isogeny class |
Conductor |
38192 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-385507960708244528 = -1 · 24 · 73 · 119 · 313 |
Discriminant |
Eigenvalues |
2- -1 0 7+ 11- 2 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,70147,-29027600] |
[a1,a2,a3,a4,a6] |
Generators |
[6816:58564:27] |
Generators of the group modulo torsion |
j |
2385749517615104000/24094247544265283 |
j-invariant |
L |
4.1140994902048 |
L(r)(E,1)/r! |
Ω |
0.1483350068148 |
Real period |
R |
3.0816876972869 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9548b2 |
Quadratic twists by: -4 |