Atkin-Lehner |
2- 3+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
125856y |
Isogeny class |
Conductor |
125856 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
2586624 |
Modular degree for the optimal curve |
Δ |
-1.1317636629552E+19 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 0 -6 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1153845,-503766432] |
[a1,a2,a3,a4,a6] |
Generators |
[60832:15001336:1] |
Generators of the group modulo torsion |
j |
-134863635597768000/8984304848689 |
j-invariant |
L |
7.9891192221518 |
L(r)(E,1)/r! |
Ω |
0.072554720345686 |
Real period |
R |
6.8819774830765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999934824 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125856w1 125856d1 |
Quadratic twists by: -4 -3 |