Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
59290cp |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
142560 |
Modular degree for the optimal curve |
Δ |
-10021812416000 = -1 · 29 · 53 · 76 · 113 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 11+ 0 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9556,-391280] |
[a1,a2,a3,a4,a6] |
Generators |
[120:380:1] |
Generators of the group modulo torsion |
j |
-616295051/64000 |
j-invariant |
L |
10.542411231697 |
L(r)(E,1)/r! |
Ω |
0.24002496813375 |
Real period |
R |
2.4401191151934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000089 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1210k1 59290g1 |
Quadratic twists by: -7 -11 |