Atkin-Lehner |
2+ 3- 5- 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
21930t |
Isogeny class |
Conductor |
21930 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
4753327500000 = 25 · 32 · 57 · 173 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 -2 -5 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8623,-290494] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:152:1] |
Generators of the group modulo torsion |
j |
70896773214276841/4753327500000 |
j-invariant |
L |
5.0423730902861 |
L(r)(E,1)/r! |
Ω |
0.49752775519811 |
Real period |
R |
0.24130613999989 |
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 |
65790bz1 109650bq1 |
Quadratic twists by: -3 5 |