Atkin-Lehner |
2- 3+ 5- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
58410v |
Isogeny class |
Conductor |
58410 |
Conductor |
∏ cp |
170 |
Product of Tamagawa factors cp |
deg |
206720 |
Modular degree for the optimal curve |
Δ |
-7177420800000 = -1 · 217 · 33 · 55 · 11 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- -5 11- 1 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1513,126511] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:254:1] |
Generators of the group modulo torsion |
j |
14195340231597/265830400000 |
j-invariant |
L |
8.3194607231426 |
L(r)(E,1)/r! |
Ω |
0.55592574346853 |
Real period |
R |
0.088029750067305 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000054 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58410a1 |
Quadratic twists by: -3 |