Atkin-Lehner |
2+ 3- 7- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
73458q |
Isogeny class |
Conductor |
73458 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
203188770557853696 = 216 · 36 · 72 · 11 · 534 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-34599321,-78325198803] |
[a1,a2,a3,a4,a6] |
Generators |
[-6119907335134:3040547458927:1802485313] |
Generators of the group modulo torsion |
j |
6283460927535303731070097/278722593357824 |
j-invariant |
L |
6.0459210664067 |
L(r)(E,1)/r! |
Ω |
0.062249040442124 |
Real period |
R |
12.140590889084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000727 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8162k2 |
Quadratic twists by: -3 |