Atkin-Lehner |
2+ 5- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
80600o |
Isogeny class |
Conductor |
80600 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
164352 |
Modular degree for the optimal curve |
Δ |
-161109728000 = -1 · 28 · 53 · 132 · 313 |
Discriminant |
Eigenvalues |
2+ -3 5- 2 4 13+ 5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,380,-19100] |
[a1,a2,a3,a4,a6] |
Generators |
[86:806:1] |
Generators of the group modulo torsion |
j |
189637632/5034679 |
j-invariant |
L |
4.8386479538539 |
L(r)(E,1)/r! |
Ω |
0.49443310750408 |
Real period |
R |
0.20388029090333 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999158 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80600bh1 |
Quadratic twists by: 5 |