Atkin-Lehner |
2- 3+ 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
128700b |
Isogeny class |
Conductor |
128700 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
603281250000 = 24 · 33 · 510 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11+ 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4200,-97875] |
[a1,a2,a3,a4,a6] |
Generators |
[-18808:42343:512] |
Generators of the group modulo torsion |
j |
1213857792/89375 |
j-invariant |
L |
9.402767179816 |
L(r)(E,1)/r! |
Ω |
0.59580217963211 |
Real period |
R |
7.8908464351314 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000018019 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128700d1 25740a1 |
Quadratic twists by: -3 5 |