Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
59150bw |
Isogeny class |
Conductor |
59150 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-47302728200 = -1 · 23 · 52 · 72 · 136 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -3 13+ -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,757,7041] |
[a1,a2,a3,a4,a6] |
Generators |
[109:1128:1] |
Generators of the group modulo torsion |
j |
397535/392 |
j-invariant |
L |
7.4708353423463 |
L(r)(E,1)/r! |
Ω |
0.74519426757928 |
Real period |
R |
0.83544605609779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997816 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59150v1 350c1 |
Quadratic twists by: 5 13 |