Atkin-Lehner |
2+ 17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
126514a |
Isogeny class |
Conductor |
126514 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
165120 |
Modular degree for the optimal curve |
Δ |
-1024370700544 = -1 · 28 · 172 · 614 |
Discriminant |
Eigenvalues |
2+ 0 3 -2 0 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2558,70292] |
[a1,a2,a3,a4,a6] |
Generators |
[412:8090:1] |
Generators of the group modulo torsion |
j |
-133721577/73984 |
j-invariant |
L |
5.0193468147092 |
L(r)(E,1)/r! |
Ω |
0.8139303542112 |
Real period |
R |
0.51390010780757 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000106359 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126514j1 |
Quadratic twists by: 61 |