Atkin-Lehner |
2+ 3- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
99450ba |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-4910677839843750 = -1 · 2 · 39 · 59 · 13 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 3 13+ 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-65817,7338091] |
[a1,a2,a3,a4,a6] |
Generators |
[59:1883:1] |
Generators of the group modulo torsion |
j |
-2768178670921/431115750 |
j-invariant |
L |
4.3614714927979 |
L(r)(E,1)/r! |
Ω |
0.41735390479483 |
Real period |
R |
0.87085792487838 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000062281 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33150bi1 19890u1 |
Quadratic twists by: -3 5 |