Atkin-Lehner |
3- 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
83475y |
Isogeny class |
Conductor |
83475 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-38033296875 = -1 · 38 · 56 · 7 · 53 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- -5 -2 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-300,-9594] |
[a1,a2,a3,a4,a6] |
Generators |
[26:13:1] |
Generators of the group modulo torsion |
j |
-262144/3339 |
j-invariant |
L |
4.089708287399 |
L(r)(E,1)/r! |
Ω |
0.4922318715841 |
Real period |
R |
2.0771248891935 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001253 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27825o1 3339a1 |
Quadratic twists by: -3 5 |