Atkin-Lehner |
2+ 3- 5- 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
124830bd |
Isogeny class |
Conductor |
124830 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
933888 |
Modular degree for the optimal curve |
Δ |
3901102119562500 = 22 · 38 · 56 · 194 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-207369,-36170375] |
[a1,a2,a3,a4,a6] |
Generators |
[-259:467:1] |
Generators of the group modulo torsion |
j |
1352785258240568209/5351306062500 |
j-invariant |
L |
6.1808150568711 |
L(r)(E,1)/r! |
Ω |
0.22377771521981 |
Real period |
R |
1.150847215083 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013381 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41610x1 |
Quadratic twists by: -3 |