Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107100t |
Isogeny class |
Conductor |
107100 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-65583756000000 = -1 · 28 · 39 · 56 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 1 7 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7800,-285500] |
[a1,a2,a3,a4,a6] |
Generators |
[44:378:1] |
Generators of the group modulo torsion |
j |
17997824/22491 |
j-invariant |
L |
7.2429062069217 |
L(r)(E,1)/r! |
Ω |
0.33172818994537 |
Real period |
R |
0.9097440855655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999934918 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35700bd1 4284h1 |
Quadratic twists by: -3 5 |