Atkin-Lehner |
2- 3+ 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
12900g |
Isogeny class |
Conductor |
12900 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
4031250000 = 24 · 3 · 59 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 2 -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5333,151662] |
[a1,a2,a3,a4,a6] |
Generators |
[-83:125:1] |
Generators of the group modulo torsion |
j |
536870912/129 |
j-invariant |
L |
3.9803341494009 |
L(r)(E,1)/r! |
Ω |
1.3551819970468 |
Real period |
R |
1.958080984977 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51600ds1 38700l1 12900m1 |
Quadratic twists by: -4 -3 5 |