Atkin-Lehner |
3+ 23- 47- |
Signs for the Atkin-Lehner involutions |
Class |
74589f |
Isogeny class |
Conductor |
74589 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
622656 |
Modular degree for the optimal curve |
Δ |
-52570242730120581 = -1 · 33 · 2310 · 47 |
Discriminant |
Eigenvalues |
-1 3+ 1 -2 4 4 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5830,-11035096] |
[a1,a2,a3,a4,a6] |
Generators |
[2113886235634:138138640397088:487443403] |
Generators of the group modulo torsion |
j |
-529/1269 |
j-invariant |
L |
3.496628772647 |
L(r)(E,1)/r! |
Ω |
0.16081391614675 |
Real period |
R |
21.743322073297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74589g1 |
Quadratic twists by: -23 |