Atkin-Lehner |
2+ 5- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
83810o |
Isogeny class |
Conductor |
83810 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
64880640 |
Modular degree for the optimal curve |
Δ |
4.5674861807048E+22 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 6 -2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8525482714,302990935230948] |
[a1,a2,a3,a4,a6] |
Generators |
[18869291:-244337458:343] |
Generators of the group modulo torsion |
j |
2839142026487686715303377689/1892272656250000 |
j-invariant |
L |
4.3569795373532 |
L(r)(E,1)/r! |
Ω |
0.070107991429962 |
Real period |
R |
2.8248494936907 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001669 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4930c1 |
Quadratic twists by: 17 |