Atkin-Lehner |
2- 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
83790eg |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
21626880 |
Modular degree for the optimal curve |
Δ |
194031268521930000 = 24 · 311 · 54 · 78 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1299072893,-18021484724043] |
[a1,a2,a3,a4,a6] |
Generators |
[6903075708291241558:2092634417801225046933:65090940663176] |
Generators of the group modulo torsion |
j |
2826887369998878529467769/2262330000 |
j-invariant |
L |
10.995793230362 |
L(r)(E,1)/r! |
Ω |
0.02514728909678 |
Real period |
R |
27.328475614004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000843 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27930u1 11970bx1 |
Quadratic twists by: -3 -7 |