Atkin-Lehner |
2+ 3- 103- |
Signs for the Atkin-Lehner involutions |
Class |
59328q |
Isogeny class |
Conductor |
59328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-33216086016 = -1 · 214 · 39 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 1 0 0 5 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9372,-349328] |
[a1,a2,a3,a4,a6] |
Generators |
[162:1544:1] |
Generators of the group modulo torsion |
j |
-7622072656/2781 |
j-invariant |
L |
7.758985631418 |
L(r)(E,1)/r! |
Ω |
0.24260624936399 |
Real period |
R |
3.9977255593042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999782 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59328bf1 3708c1 19776s1 |
Quadratic twists by: -4 8 -3 |