Atkin-Lehner |
2- 3+ 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
49200ci |
Isogeny class |
Conductor |
49200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-330820800000000 = -1 · 212 · 3 · 58 · 413 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 3 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-57333,5375037] |
[a1,a2,a3,a4,a6] |
Generators |
[20620:76957:125] |
Generators of the group modulo torsion |
j |
-13026426880/206763 |
j-invariant |
L |
4.3838912436744 |
L(r)(E,1)/r! |
Ω |
0.54270765496828 |
Real period |
R |
8.0778135402326 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999963 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3075n2 49200cv2 |
Quadratic twists by: -4 5 |