Atkin-Lehner |
2+ 5- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
99400j |
Isogeny class |
Conductor |
99400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
7904288000 = 28 · 53 · 72 · 712 |
Discriminant |
Eigenvalues |
2+ 2 5- 7+ 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1188,15572] |
[a1,a2,a3,a4,a6] |
Generators |
[62:420:1] |
Generators of the group modulo torsion |
j |
5799473552/247009 |
j-invariant |
L |
8.6957326681565 |
L(r)(E,1)/r! |
Ω |
1.3016134315275 |
Real period |
R |
1.670183412998 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016405 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99400u2 |
Quadratic twists by: 5 |