Atkin-Lehner |
2+ 7+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
76874a |
Isogeny class |
Conductor |
76874 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
898560 |
Modular degree for the optimal curve |
Δ |
-291722381370572096 = -1 · 26 · 7 · 1711 · 19 |
Discriminant |
Eigenvalues |
2+ 1 -3 7+ 4 -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,165735,-905028] |
[a1,a2,a3,a4,a6] |
Generators |
[7329:212494:27] |
Generators of the group modulo torsion |
j |
20858191412183/12085822784 |
j-invariant |
L |
3.422326497826 |
L(r)(E,1)/r! |
Ω |
0.18290885262652 |
Real period |
R |
4.6776392302952 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981581 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4522c1 |
Quadratic twists by: 17 |