Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
107800bm |
Isogeny class |
Conductor |
107800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
444860281250000 = 24 · 59 · 76 · 112 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11+ 0 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-46550,3730125] |
[a1,a2,a3,a4,a6] |
Generators |
[-115:2750:1] |
Generators of the group modulo torsion |
j |
379275264/15125 |
j-invariant |
L |
6.9041599009521 |
L(r)(E,1)/r! |
Ω |
0.523713566284 |
Real period |
R |
1.6478854925671 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999939635 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21560i1 2200e1 |
Quadratic twists by: 5 -7 |