Atkin-Lehner |
2+ 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
51800b |
Isogeny class |
Conductor |
51800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-71840339452000000 = -1 · 28 · 56 · 7 · 376 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -4 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-421175,-105993750] |
[a1,a2,a3,a4,a6] |
Generators |
[172681041:-9061838128:59319] |
Generators of the group modulo torsion |
j |
-2065624967846736/17960084863 |
j-invariant |
L |
5.5725878334467 |
L(r)(E,1)/r! |
Ω |
0.093654486026668 |
Real period |
R |
9.9169263354275 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999892 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103600e2 2072e2 |
Quadratic twists by: -4 5 |