Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600cb |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-26564203008000 = -1 · 212 · 32 · 53 · 78 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 6 6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5553,296577] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:588:1] |
Generators of the group modulo torsion |
j |
-314432/441 |
j-invariant |
L |
7.1228334774845 |
L(r)(E,1)/r! |
Ω |
0.60172000301928 |
Real period |
R |
1.4796818729455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000040761 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117600ih2 117600ie2 16800bb2 |
Quadratic twists by: -4 5 -7 |