Atkin-Lehner |
2- 3+ 5- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
58650br |
Isogeny class |
Conductor |
58650 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1146880 |
Modular degree for the optimal curve |
Δ |
-3019605183843750000 = -1 · 24 · 37 · 59 · 174 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 0 0 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1102138,452671031] |
[a1,a2,a3,a4,a6] |
Generators |
[-965:25357:1] |
Generators of the group modulo torsion |
j |
-75805658917022861/1546037854128 |
j-invariant |
L |
9.0845009272598 |
L(r)(E,1)/r! |
Ω |
0.25332092602476 |
Real period |
R |
4.4827035559389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000198 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58650bd1 |
Quadratic twists by: 5 |