Atkin-Lehner |
2+ 3+ 5+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
76650c |
Isogeny class |
Conductor |
76650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
-29103046875000 = -1 · 23 · 36 · 510 · 7 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 3 4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5950,311500] |
[a1,a2,a3,a4,a6] |
Generators |
[181:2191:1] |
Generators of the group modulo torsion |
j |
-2386099825/2980152 |
j-invariant |
L |
4.4421185843133 |
L(r)(E,1)/r! |
Ω |
0.59942221258108 |
Real period |
R |
3.7053336454235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000296 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76650dn1 |
Quadratic twists by: 5 |