Atkin-Lehner |
2+ 3+ 5- 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
99990d |
Isogeny class |
Conductor |
99990 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
-1207761711750000000 = -1 · 27 · 33 · 59 · 116 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 11- -7 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,246741,23819013] |
[a1,a2,a3,a4,a6] |
Generators |
[-93:294:1] |
Generators of the group modulo torsion |
j |
61529433911469819477/44731915250000000 |
j-invariant |
L |
4.7610637396633 |
L(r)(E,1)/r! |
Ω |
0.17397827937854 |
Real period |
R |
2.2804876146637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007444 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
99990m2 |
Quadratic twists by: -3 |