Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600er |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
16003008000000 = 212 · 36 · 56 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7233,140337] |
[a1,a2,a3,a4,a6] |
Generators |
[7:300:1] |
Generators of the group modulo torsion |
j |
1906624/729 |
j-invariant |
L |
5.4625724543469 |
L(r)(E,1)/r! |
Ω |
0.63550841198221 |
Real period |
R |
2.1488985571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002968 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117600cu2 4704n2 117600gw2 |
Quadratic twists by: -4 5 -7 |