Atkin-Lehner |
2- 23- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
89792o |
Isogeny class |
Conductor |
89792 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
105408 |
Modular degree for the optimal curve |
Δ |
-176747380928 = -1 · 26 · 233 · 613 |
Discriminant |
Eigenvalues |
2- 0 -4 3 -3 -3 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-622,-21090] |
[a1,a2,a3,a4,a6] |
Generators |
[105:1035:1] |
Generators of the group modulo torsion |
j |
-415829113344/2761677827 |
j-invariant |
L |
3.488356995177 |
L(r)(E,1)/r! |
Ω |
0.42534279847524 |
Real period |
R |
2.7337612528931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029156 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89792i1 44896f1 |
Quadratic twists by: -4 8 |