Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488fn |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-107341065216 = -1 · 210 · 34 · 76 · 11 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11+ 6 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,131,15709] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:120:1] |
Generators of the group modulo torsion |
j |
2048/891 |
j-invariant |
L |
4.9206635964087 |
L(r)(E,1)/r! |
Ω |
0.82218745662675 |
Real period |
R |
2.9924219574345 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994603 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103488ee1 25872x1 2112y1 |
Quadratic twists by: -4 8 -7 |