Atkin-Lehner |
2+ 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
74970bw |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1.0319409919854E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14242104,20685350160] |
[a1,a2,a3,a4,a6] |
Generators |
[751:101667:1] |
Generators of the group modulo torsion |
j |
3725035528036823281/1203203526000 |
j-invariant |
L |
6.1610120060853 |
L(r)(E,1)/r! |
Ω |
0.1848591348288 |
Real period |
R |
0.69433634927862 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988788 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24990bz4 10710h3 |
Quadratic twists by: -3 -7 |