Atkin-Lehner |
2+ 3+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
77064b |
Isogeny class |
Conductor |
77064 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-76278719073024 = -1 · 28 · 32 · 136 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ -1 3 5 13+ -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,9239,241357] |
[a1,a2,a3,a4,a6] |
Generators |
[61:-1014:1] |
Generators of the group modulo torsion |
j |
70575104/61731 |
j-invariant |
L |
6.3238675510408 |
L(r)(E,1)/r! |
Ω |
0.39809645507132 |
Real period |
R |
0.99282904228604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999927672 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
456d1 |
Quadratic twists by: 13 |