Atkin-Lehner |
2+ 3- 7+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
124488o |
Isogeny class |
Conductor |
124488 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
458752 |
Modular degree for the optimal curve |
Δ |
1720108707408 = 24 · 314 · 7 · 132 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 13- 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-67674,-6775823] |
[a1,a2,a3,a4,a6] |
Generators |
[19236:12155:64] |
Generators of the group modulo torsion |
j |
2938608579868672/147471597 |
j-invariant |
L |
8.9997035372789 |
L(r)(E,1)/r! |
Ω |
0.29600251470193 |
Real period |
R |
7.6010363605343 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032271 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41496bb1 |
Quadratic twists by: -3 |