Atkin-Lehner |
2+ 3- 5- 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
76650bl |
Isogeny class |
Conductor |
76650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
132480 |
Modular degree for the optimal curve |
Δ |
-219770880000 = -1 · 215 · 3 · 54 · 72 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 -7 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1551,-32702] |
[a1,a2,a3,a4,a6] |
Generators |
[1812:10102:27] |
Generators of the group modulo torsion |
j |
-659593720825/351633408 |
j-invariant |
L |
4.2624153859258 |
L(r)(E,1)/r! |
Ω |
0.37114110832348 |
Real period |
R |
5.7423110675914 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999953023 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76650ca1 |
Quadratic twists by: 5 |