Atkin-Lehner |
2- 3+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
59094bo |
Isogeny class |
Conductor |
59094 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
-1487149203456 = -1 · 224 · 33 · 72 · 67 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- -6 4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1366,55017] |
[a1,a2,a3,a4,a6] |
Generators |
[17:279:1] [-15:183:1] |
Generators of the group modulo torsion |
j |
213213153069/1124073472 |
j-invariant |
L |
12.26935608055 |
L(r)(E,1)/r! |
Ω |
0.61208943133865 |
Real period |
R |
0.41760496411882 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999912 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59094k2 59094bh1 |
Quadratic twists by: -3 -7 |