Atkin-Lehner |
2+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
760d |
Isogeny class |
Conductor |
760 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
96 |
Modular degree for the optimal curve |
Δ |
722000 = 24 · 53 · 192 |
Discriminant |
Eigenvalues |
2+ -2 5- 0 -4 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-35,58] |
[a1,a2,a3,a4,a6] |
Generators |
[1:5:1] |
Generators of the group modulo torsion |
j |
304900096/45125 |
j-invariant |
L |
1.7874773124556 |
L(r)(E,1)/r! |
Ω |
2.7369997770299 |
Real period |
R |
0.217693028629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1520a1 6080b1 6840s1 3800h1 |
Quadratic twists by: -4 8 -3 5 |