Atkin-Lehner |
2- 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
48100b |
Isogeny class |
Conductor |
48100 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
25012000000 = 28 · 56 · 132 · 37 |
Discriminant |
Eigenvalues |
2- -3 5+ -3 3 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1000,-9500] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:26:1] [-20:50:1] |
Generators of the group modulo torsion |
j |
27648000/6253 |
j-invariant |
L |
5.8899343857721 |
L(r)(E,1)/r! |
Ω |
0.86274640498276 |
Real period |
R |
0.56891325498008 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1924a1 |
Quadratic twists by: 5 |