Atkin-Lehner |
2+ 7- 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
67522k |
Isogeny class |
Conductor |
67522 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-11411218 = -1 · 2 · 72 · 133 · 53 |
Discriminant |
Eigenvalues |
2+ 0 0 7- -6 13- -7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2,-162] |
[a1,a2,a3,a4,a6] |
Generators |
[11:27:1] |
Generators of the group modulo torsion |
j |
-23625/232882 |
j-invariant |
L |
2.9882013228011 |
L(r)(E,1)/r! |
Ω |
1.0317994260617 |
Real period |
R |
0.96536892972879 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996823 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67522a1 |
Quadratic twists by: -7 |