Atkin-Lehner |
2- 3+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
75810co |
Isogeny class |
Conductor |
75810 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
8683272958007812500 = 22 · 33 · 512 · 7 · 196 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1573065,745388547] |
[a1,a2,a3,a4,a6] |
Generators |
[891:6774:1] |
Generators of the group modulo torsion |
j |
9150443179640281/184570312500 |
j-invariant |
L |
9.1513102587766 |
L(r)(E,1)/r! |
Ω |
0.23191642682487 |
Real period |
R |
3.2882931095191 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989362 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
210b4 |
Quadratic twists by: -19 |