Atkin-Lehner |
2- 3- 5+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
83850cm |
Isogeny class |
Conductor |
83850 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-3004622874227812500 = -1 · 22 · 32 · 57 · 132 · 436 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -2 13- -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,326437,42474117] |
[a1,a2,a3,a4,a6] |
Generators |
[166:9979:1] |
Generators of the group modulo torsion |
j |
246207759969363479/192295863950580 |
j-invariant |
L |
9.9529147003084 |
L(r)(E,1)/r! |
Ω |
0.16276431548301 |
Real period |
R |
1.2739425652543 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999589 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16770b2 |
Quadratic twists by: 5 |