Atkin-Lehner |
2- 3- 29+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
28536i |
Isogeny class |
Conductor |
28536 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
35136 |
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 |
[35:174:1] |
Generators of the group modulo torsion |
j |
-11205525764162/1564989147 |
j-invariant |
L |
7.7077297245168 |
L(r)(E,1)/r! |
Ω |
0.7712030662297 |
Real period |
R |
1.6657371800052 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57072a1 85608i1 |
Quadratic twists by: -4 -3 |