Atkin-Lehner |
2- 5- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83600cg |
Isogeny class |
Conductor |
83600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8847360 |
Modular degree for the optimal curve |
Δ |
-9.5581576594719E+24 |
Discriminant |
Eigenvalues |
2- 0 5- 2 11+ 2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32099875,164394281250] |
[a1,a2,a3,a4,a6] |
Generators |
[131673979537533500895:-14107589027207309164544:10147139057487375] |
Generators of the group modulo torsion |
j |
-457239508039360773/1194769707433984 |
j-invariant |
L |
7.018655784563 |
L(r)(E,1)/r! |
Ω |
0.0642602345683 |
Real period |
R |
27.305595091626 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10450n1 83600ci1 |
Quadratic twists by: -4 5 |