Atkin-Lehner |
3- 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
83655w |
Isogeny class |
Conductor |
83655 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
16189828012955025 = 38 · 52 · 112 · 138 |
Discriminant |
Eigenvalues |
-1 3- 5- -4 11+ 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-76082,5288456] |
[a1,a2,a3,a4,a6] |
Generators |
[-276:2419:1] |
Generators of the group modulo torsion |
j |
13841287201/4601025 |
j-invariant |
L |
2.6958132981999 |
L(r)(E,1)/r! |
Ω |
0.36083757297131 |
Real period |
R |
1.8677470833932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000803 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
27885r2 6435j2 |
Quadratic twists by: -3 13 |