Atkin-Lehner |
2- 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
100450cj |
Isogeny class |
Conductor |
100450 |
Conductor |
∏ cp |
165 |
Product of Tamagawa factors cp |
deg |
2217600 |
Modular degree for the optimal curve |
Δ |
-4541563079200000000 = -1 · 211 · 58 · 72 · 415 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -2 -5 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,78695,-102199303] |
[a1,a2,a3,a4,a6] |
Generators |
[419:1840:1] |
Generators of the group modulo torsion |
j |
2815880305455/237273499648 |
j-invariant |
L |
7.6596544679283 |
L(r)(E,1)/r! |
Ω |
0.11640452172215 |
Real period |
R |
0.3988002142921 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017903 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100450o1 100450ce1 |
Quadratic twists by: 5 -7 |