Atkin-Lehner |
2- 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608dd |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-4472296377679872 = -1 · 218 · 39 · 74 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -2 6 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24300,-3532464] |
[a1,a2,a3,a4,a6] |
Generators |
[3114000:-203383124:729] |
Generators of the group modulo torsion |
j |
-307546875/866761 |
j-invariant |
L |
7.1874053843442 |
L(r)(E,1)/r! |
Ω |
0.17720270731916 |
Real period |
R |
10.140089694936 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982431 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608i2 19152be2 76608dc2 |
Quadratic twists by: -4 8 -3 |