Atkin-Lehner |
2+ 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
50600b |
Isogeny class |
Conductor |
50600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
1619200 = 28 · 52 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ -3 5+ 1 11+ -2 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-100,-380] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:2:1] |
Generators of the group modulo torsion |
j |
17280000/253 |
j-invariant |
L |
3.6066723532543 |
L(r)(E,1)/r! |
Ω |
1.5110702534446 |
Real period |
R |
0.59670825115843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000034 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101200j1 50600m1 |
Quadratic twists by: -4 5 |