Atkin-Lehner |
2- 3- 23- 47- |
Signs for the Atkin-Lehner involutions |
Class |
51888y |
Isogeny class |
Conductor |
51888 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-155349902426112 = -1 · 222 · 36 · 23 · 472 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 2 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,12328,-282348] |
[a1,a2,a3,a4,a6] |
Generators |
[247:4230:1] |
Generators of the group modulo torsion |
j |
50583213074087/37927222272 |
j-invariant |
L |
9.0929514487346 |
L(r)(E,1)/r! |
Ω |
0.32262864780579 |
Real period |
R |
2.3486629572863 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6486b1 |
Quadratic twists by: -4 |