Atkin-Lehner |
2+ 5- 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
73040f |
Isogeny class |
Conductor |
73040 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-353513600000 = -1 · 210 · 55 · 113 · 83 |
Discriminant |
Eigenvalues |
2+ -3 5- 0 11- -2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1733,6874] |
[a1,a2,a3,a4,a6] |
Generators |
[3:110:1] |
Generators of the group modulo torsion |
j |
562107582396/345228125 |
j-invariant |
L |
4.0543693892166 |
L(r)(E,1)/r! |
Ω |
0.59072120808024 |
Real period |
R |
0.22878075891257 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001249 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36520e1 |
Quadratic twists by: -4 |