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 |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
284533488288000 = 28 · 33 · 53 · 7 · 196 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-179605,-29360773] |
[a1,a2,a3,a4,a6] |
Generators |
[-245:228:1] |
Generators of the group modulo torsion |
j |
13619385906841/6048000 |
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 |
210b1 |
Quadratic twists by: -19 |