Atkin-Lehner |
2- 3- 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
129744ca |
Isogeny class |
Conductor |
129744 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
2273280 |
Modular degree for the optimal curve |
Δ |
11909233828564992 = 212 · 36 · 175 · 532 |
Discriminant |
Eigenvalues |
2- 3- 0 4 0 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4262115,3386767138] |
[a1,a2,a3,a4,a6] |
Generators |
[993:11560:1] |
Generators of the group modulo torsion |
j |
2867554803676902625/3988378313 |
j-invariant |
L |
9.489081656082 |
L(r)(E,1)/r! |
Ω |
0.34103722571439 |
Real period |
R |
1.3912090816823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999409536 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8109l1 14416d1 |
Quadratic twists by: -4 -3 |