Atkin-Lehner |
2+ 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
83600u |
Isogeny class |
Conductor |
83600 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
17694720 |
Modular degree for the optimal curve |
Δ |
-2.0733351987704E+24 |
Discriminant |
Eigenvalues |
2+ -2 5+ -4 11- -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5383117,-69108821012] |
[a1,a2,a3,a4,a6] |
Generators |
[42388:8736200:1] |
Generators of the group modulo torsion |
j |
69005718185490028544/8293340795081546875 |
j-invariant |
L |
3.0893771640445 |
L(r)(E,1)/r! |
Ω |
0.039138902708678 |
Real period |
R |
1.9733417064552 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005333 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41800p1 16720p1 |
Quadratic twists by: -4 5 |