Atkin-Lehner |
2+ 19- 103- |
Signs for the Atkin-Lehner involutions |
Class |
125248u |
Isogeny class |
Conductor |
125248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
-152301568 = -1 · 212 · 192 · 103 |
Discriminant |
Eigenvalues |
2+ -2 0 0 4 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,87,535] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:16:1] |
Generators of the group modulo torsion |
j |
17576000/37183 |
j-invariant |
L |
4.6469577820293 |
L(r)(E,1)/r! |
Ω |
1.2656945589335 |
Real period |
R |
1.8357343087923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998481961 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125248d1 62624a1 |
Quadratic twists by: -4 8 |