Atkin-Lehner |
2- 7+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
76874y |
Isogeny class |
Conductor |
76874 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
2695680 |
Modular degree for the optimal curve |
Δ |
-8221789027377665684 = -1 · 22 · 7 · 179 · 195 |
Discriminant |
Eigenvalues |
2- -3 -1 7+ -4 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,191697,134072523] |
[a1,a2,a3,a4,a6] |
Generators |
[3243:185072:1] |
Generators of the group modulo torsion |
j |
32275892242719/340622082836 |
j-invariant |
L |
3.6376653848426 |
L(r)(E,1)/r! |
Ω |
0.17144422817027 |
Real period |
R |
0.53044442224624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006799 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4522i1 |
Quadratic twists by: 17 |