Atkin-Lehner |
2- 3- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
75810do |
Isogeny class |
Conductor |
75810 |
Conductor |
∏ cp |
2688 |
Product of Tamagawa factors cp |
deg |
9676800 |
Modular degree for the optimal curve |
Δ |
-1.1904363981902E+23 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-16868635,31409942225] |
[a1,a2,a3,a4,a6] |
Generators |
[1310:-108175:1] |
Generators of the group modulo torsion |
j |
-11283450590382195961/2530373271552000 |
j-invariant |
L |
12.352031217194 |
L(r)(E,1)/r! |
Ω |
0.10017317175755 |
Real period |
R |
0.73396892649556 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000258 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3990g1 |
Quadratic twists by: -19 |