Atkin-Lehner |
2+ 11- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
46904g |
Isogeny class |
Conductor |
46904 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
87552 |
Modular degree for the optimal curve |
Δ |
-269725484993536 = -1 · 210 · 113 · 136 · 41 |
Discriminant |
Eigenvalues |
2+ 0 1 1 11- 13- -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9253,712038] |
[a1,a2,a3,a4,a6] |
Generators |
[599:14872:1] |
Generators of the group modulo torsion |
j |
85560131225916/263403793939 |
j-invariant |
L |
6.1907893917518 |
L(r)(E,1)/r! |
Ω |
0.38856889501667 |
Real period |
R |
0.4425634017492 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000035 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93808g1 |
Quadratic twists by: -4 |