Atkin-Lehner |
5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
29645i |
Isogeny class |
Conductor |
29645 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
39600 |
Modular degree for the optimal curve |
Δ |
-44486028125 = -1 · 55 · 76 · 112 |
Discriminant |
Eigenvalues |
-1 3 5+ 7- 11- -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-573,-11294] |
[a1,a2,a3,a4,a6] |
Generators |
[2424198:37771600:9261] |
Generators of the group modulo torsion |
j |
-1459161/3125 |
j-invariant |
L |
5.357714375964 |
L(r)(E,1)/r! |
Ω |
0.45731091528437 |
Real period |
R |
11.715693190119 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
605c1 29645f1 |
Quadratic twists by: -7 -11 |