Atkin-Lehner |
2- 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
76176bo |
Isogeny class |
Conductor |
76176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
541285530262272 = 28 · 33 · 238 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 4 -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20631,-219006] |
[a1,a2,a3,a4,a6] |
Generators |
[400062:3154956:2197] |
Generators of the group modulo torsion |
j |
949104/529 |
j-invariant |
L |
5.9484183682594 |
L(r)(E,1)/r! |
Ω |
0.42747485737935 |
Real period |
R |
6.9576236653037 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000352 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19044e2 76176bl2 3312k2 |
Quadratic twists by: -4 -3 -23 |