Atkin-Lehner |
2- 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
51680g |
Isogeny class |
Conductor |
51680 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7104 |
Modular degree for the optimal curve |
Δ |
-826880 = -1 · 29 · 5 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 1 5+ -4 -5 -4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16,-56] |
[a1,a2,a3,a4,a6] |
Generators |
[6:10:1] |
Generators of the group modulo torsion |
j |
-941192/1615 |
j-invariant |
L |
3.3981124275457 |
L(r)(E,1)/r! |
Ω |
1.1219863907908 |
Real period |
R |
1.5143287188736 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000077 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51680f1 103360cf1 |
Quadratic twists by: -4 8 |