Atkin-Lehner |
2- 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608dg |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2952657145348227072 = 226 · 39 · 76 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 6 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-80462700,277804960848] |
[a1,a2,a3,a4,a6] |
Generators |
[96043002:-10281614336:35937] |
Generators of the group modulo torsion |
j |
11165451838341046875/572244736 |
j-invariant |
L |
6.727027334638 |
L(r)(E,1)/r! |
Ω |
0.19009230165386 |
Real period |
R |
8.8470538732637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000209 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608n3 19152bh3 76608dh1 |
Quadratic twists by: -4 8 -3 |