Atkin-Lehner |
2- 3- 5- 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
121410bn |
Isogeny class |
Conductor |
121410 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
deg |
9830400 |
Modular degree for the optimal curve |
Δ |
-6.9149707056998E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -4 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1302602,4041899129] |
[a1,a2,a3,a4,a6] |
Generators |
[-1113:64681:1] |
Generators of the group modulo torsion |
j |
-335298100560607850329/9485556523593750000 |
j-invariant |
L |
12.929497385064 |
L(r)(E,1)/r! |
Ω |
0.11113274382467 |
Real period |
R |
0.72714265922984 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999733285 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40470w1 |
Quadratic twists by: -3 |