Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74970p |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2.4217115662685E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-49061700,-132045855264] |
[a1,a2,a3,a4,a6] |
Generators |
[-111075:388462:27] |
Generators of the group modulo torsion |
j |
152277495831664137649/282362258900400 |
j-invariant |
L |
4.4228890915341 |
L(r)(E,1)/r! |
Ω |
0.057050871191083 |
Real period |
R |
9.6906694827548 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000466 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24990cg4 10710n4 |
Quadratic twists by: -3 -7 |