Atkin-Lehner |
2+ 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608bt |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
95408989390503936 = 224 · 38 · 74 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 0 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-230124,-39806800] |
[a1,a2,a3,a4,a6] |
Generators |
[326600:-4373325:512] |
Generators of the group modulo torsion |
j |
7052482298233/499254336 |
j-invariant |
L |
6.8778837917187 |
L(r)(E,1)/r! |
Ω |
0.2189487393167 |
Real period |
R |
7.8533037138491 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000181 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
76608ew2 2394k2 25536i2 |
Quadratic twists by: -4 8 -3 |