Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
44688bb |
Isogeny class |
Conductor |
44688 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-772852281264 = -1 · 24 · 32 · 710 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1993,25500] |
[a1,a2,a3,a4,a6] |
Generators |
[11332:156255:64] |
Generators of the group modulo torsion |
j |
464857088/410571 |
j-invariant |
L |
8.8099158752644 |
L(r)(E,1)/r! |
Ω |
0.58426695075712 |
Real period |
R |
7.5392899289013 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22344i1 6384c1 |
Quadratic twists by: -4 -7 |