Atkin-Lehner |
2- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
53200de |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-24091002880000 = -1 · 214 · 54 · 73 · 193 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ 0 -1 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6992,69312] |
[a1,a2,a3,a4,a6] |
Generators |
[237666:3168498:2197] |
Generators of the group modulo torsion |
j |
14764742975/9410548 |
j-invariant |
L |
7.9974711795125 |
L(r)(E,1)/r! |
Ω |
0.41925462647857 |
Real period |
R |
9.5377256138792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000136 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6650bj2 53200ci2 |
Quadratic twists by: -4 5 |