Atkin-Lehner |
2- 7- 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
113386s |
Isogeny class |
Conductor |
113386 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2.378409286948E+19 |
Discriminant |
Eigenvalues |
2- -1 3 7- 0 13+ 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-878424,393934813] |
[a1,a2,a3,a4,a6] |
Generators |
[2411408:35717227:4096] |
Generators of the group modulo torsion |
j |
-637159381005983473/202161453726596 |
j-invariant |
L |
11.575609975408 |
L(r)(E,1)/r! |
Ω |
0.20161383030098 |
Real period |
R |
3.5884225743933 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000048392 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16198k2 |
Quadratic twists by: -7 |