Atkin-Lehner |
2+ 3+ 29+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
57072a |
Isogeny class |
Conductor |
57072 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
70272 |
Modular degree for the optimal curve |
Δ |
-3205097773056 = -1 · 211 · 33 · 292 · 413 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -2 0 -1 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5920,-193376] |
[a1,a2,a3,a4,a6] |
Generators |
[2622:10034:27] |
Generators of the group modulo torsion |
j |
-11205525764162/1564989147 |
j-invariant |
L |
5.1613440377602 |
L(r)(E,1)/r! |
Ω |
0.27004023480287 |
Real period |
R |
4.778310203868 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000206 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28536i1 |
Quadratic twists by: -4 |