Atkin-Lehner |
3+ 5+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
125775i |
Isogeny class |
Conductor |
125775 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
103310246675390625 = 39 · 58 · 132 · 433 |
Discriminant |
Eigenvalues |
1 3+ 5+ -2 2 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1132692,-463456909] |
[a1,a2,a3,a4,a6] |
Generators |
[117236:3784507:64] |
Generators of the group modulo torsion |
j |
522574373827323/335917075 |
j-invariant |
L |
7.6757120568537 |
L(r)(E,1)/r! |
Ω |
0.14634852019345 |
Real period |
R |
4.3706808286404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983594 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125775k1 25155a1 |
Quadratic twists by: -3 5 |