Atkin-Lehner |
2- 3- 5+ 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
127650dl |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
600 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
8751479760000000 = 210 · 35 · 57 · 233 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 5 1 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-51838,-619708] |
[a1,a2,a3,a4,a6] |
Generators |
[-178:1814:1] |
Generators of the group modulo torsion |
j |
985936447812889/560094704640 |
j-invariant |
L |
15.207839157973 |
L(r)(E,1)/r! |
Ω |
0.34173996719767 |
Real period |
R |
0.074168669111401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000187 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25530a1 |
Quadratic twists by: 5 |