Atkin-Lehner |
3+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
83205h |
Isogeny class |
Conductor |
83205 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
16558080 |
Modular degree for the optimal curve |
Δ |
4.4794326781549E+22 |
Discriminant |
Eigenvalues |
1 3+ 5- -4 -4 2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-144458094,668242332783] |
[a1,a2,a3,a4,a6] |
Generators |
[-57274:9273637:8] |
Generators of the group modulo torsion |
j |
1953326569433829507/262451171875 |
j-invariant |
L |
5.3591599059491 |
L(r)(E,1)/r! |
Ω |
0.10966461494342 |
Real period |
R |
1.7453083471584 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011544 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83205d1 1935a1 |
Quadratic twists by: -3 -43 |