Atkin-Lehner |
2- 3- 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
129744bw |
Isogeny class |
Conductor |
129744 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
29491200 |
Modular degree for the optimal curve |
Δ |
2.1130350656588E+26 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 0 5 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-220959075,1053125743714] |
[a1,a2,a3,a4,a6] |
Generators |
[269444:28441935:64] |
Generators of the group modulo torsion |
j |
399550579873545774390625/70765116814383316992 |
j-invariant |
L |
7.6644922706173 |
L(r)(E,1)/r! |
Ω |
0.05354729749854 |
Real period |
R |
3.5783749286417 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999947883 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16218h1 43248x1 |
Quadratic twists by: -4 -3 |