Atkin-Lehner |
2- 3+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
65472bq |
Isogeny class |
Conductor |
65472 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-311122944 = -1 · 210 · 34 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 3 3 11+ 2 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-89,-879] |
[a1,a2,a3,a4,a6] |
Generators |
[250:1287:8] |
Generators of the group modulo torsion |
j |
-76995328/303831 |
j-invariant |
L |
7.7220491430506 |
L(r)(E,1)/r! |
Ω |
0.70897320774143 |
Real period |
R |
2.7229693091791 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000272 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65472be1 16368bc1 |
Quadratic twists by: -4 8 |