Atkin-Lehner |
2- 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
93632bd |
Isogeny class |
Conductor |
93632 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
-1688907049984 = -1 · 210 · 72 · 116 · 19 |
Discriminant |
Eigenvalues |
2- 2 2 7- 11- 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12397,-530835] |
[a1,a2,a3,a4,a6] |
Generators |
[627060:26752935:343] |
Generators of the group modulo torsion |
j |
-205782571927552/1649323291 |
j-invariant |
L |
12.805893953847 |
L(r)(E,1)/r! |
Ω |
0.2261151657234 |
Real period |
R |
9.4390646075582 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000451 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93632c1 23408e1 |
Quadratic twists by: -4 8 |