Atkin-Lehner |
3- 5+ 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
75705p |
Isogeny class |
Conductor |
75705 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7368746175 = 34 · 52 · 73 · 1032 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 2 -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1069,-12883] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:29:1] |
Generators of the group modulo torsion |
j |
393349474783/21483225 |
j-invariant |
L |
7.7723868968367 |
L(r)(E,1)/r! |
Ω |
0.83787436453474 |
Real period |
R |
1.1595394287334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001046 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75705l2 |
Quadratic twists by: -7 |