Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488dg |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
166656 |
Modular degree for the optimal curve |
Δ |
-6562464984768 = -1 · 26 · 3 · 710 · 112 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11+ -1 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1601,121295] |
[a1,a2,a3,a4,a6] |
Generators |
[-92:22077:64] |
Generators of the group modulo torsion |
j |
25088/363 |
j-invariant |
L |
6.613184999754 |
L(r)(E,1)/r! |
Ω |
0.55683287588271 |
Real period |
R |
5.9382135062194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999867031 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103488bz1 51744s1 103488d1 |
Quadratic twists by: -4 8 -7 |