Atkin-Lehner |
2+ 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74970g |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-16395939000 = -1 · 23 · 39 · 53 · 72 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 -5 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1689,27845] |
[a1,a2,a3,a4,a6] |
Generators |
[31:52:1] |
Generators of the group modulo torsion |
j |
-552675123/17000 |
j-invariant |
L |
4.3610952084027 |
L(r)(E,1)/r! |
Ω |
1.2317940269385 |
Real period |
R |
0.59007365322112 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987464 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74970bz1 74970a2 |
Quadratic twists by: -3 -7 |