Atkin-Lehner |
2- 3+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
48642p |
Isogeny class |
Conductor |
48642 |
Conductor |
∏ cp |
102 |
Product of Tamagawa factors cp |
deg |
6462720 |
Modular degree for the optimal curve |
Δ |
5.5442889146108E+22 |
Discriminant |
Eigenvalues |
2- 3+ -1 -1 11- -6 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-45362116,117028926917] |
[a1,a2,a3,a4,a6] |
Generators |
[413:313425:1] |
Generators of the group modulo torsion |
j |
48157301805552254689/258645169668096 |
j-invariant |
L |
6.3333993125563 |
L(r)(E,1)/r! |
Ω |
0.11234819137412 |
Real period |
R |
0.55267600985399 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48642b1 |
Quadratic twists by: -11 |