Atkin-Lehner |
2+ 3+ 37- 43- |
Signs for the Atkin-Lehner involutions |
Class |
28638b |
Isogeny class |
Conductor |
28638 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
56832 |
Modular degree for the optimal curve |
Δ |
104163508224 = 216 · 33 · 372 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 -6 2 -8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3423,76365] |
[a1,a2,a3,a4,a6] |
Generators |
[27:42:1] |
Generators of the group modulo torsion |
j |
164305465756011/3857907712 |
j-invariant |
L |
2.2986019552662 |
L(r)(E,1)/r! |
Ω |
1.0586220873602 |
Real period |
R |
1.0856574705512 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28638j1 |
Quadratic twists by: -3 |