Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74970q |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.9132823043488E+28 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5865240915,-172763199766319] |
[a1,a2,a3,a4,a6] |
Generators |
[-61786510081724091:529287416300078153:1400792544269] |
Generators of the group modulo torsion |
j |
260174968233082037895439009/223081361502731896500 |
j-invariant |
L |
3.9107090130712 |
L(r)(E,1)/r! |
Ω |
0.017252436814712 |
Real period |
R |
28.334468459773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999969972 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24990bs7 10710l8 |
Quadratic twists by: -3 -7 |