Atkin-Lehner |
2- 5- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
51100w |
Isogeny class |
Conductor |
51100 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-1906183300000000 = -1 · 28 · 58 · 72 · 733 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 3 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1232708,-527206412] |
[a1,a2,a3,a4,a6] |
Generators |
[5159:361176:1] |
Generators of the group modulo torsion |
j |
-2071594302130000/19061833 |
j-invariant |
L |
3.7248417072324 |
L(r)(E,1)/r! |
Ω |
0.071639778808065 |
Real period |
R |
8.6656737574033 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000035 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51100d2 |
Quadratic twists by: 5 |