Atkin-Lehner |
2- 3- 11+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48906bf |
Isogeny class |
Conductor |
48906 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
913920 |
Modular degree for the optimal curve |
Δ |
-2492843578839858816 = -1 · 27 · 36 · 112 · 13 · 198 |
Discriminant |
Eigenvalues |
2- 3- -3 1 11+ 13+ -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,39991,-75911223] |
[a1,a2,a3,a4,a6] |
Generators |
[96069:5686076:27] |
Generators of the group modulo torsion |
j |
9702712366430903/3419538516927104 |
j-invariant |
L |
7.3347579166589 |
L(r)(E,1)/r! |
Ω |
0.12071294890494 |
Real period |
R |
2.1700707526221 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999737 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5434e1 |
Quadratic twists by: -3 |