Atkin-Lehner |
2- 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19760t |
Isogeny class |
Conductor |
19760 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-2547790527343750000 = -1 · 24 · 518 · 133 · 19 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 -6 13- 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-612066,-199464109] |
[a1,a2,a3,a4,a6] |
Generators |
[361574014893:4408802734375:368601813] |
Generators of the group modulo torsion |
j |
-1584890290954800281344/159236907958984375 |
j-invariant |
L |
5.8402885300576 |
L(r)(E,1)/r! |
Ω |
0.084860203053386 |
Real period |
R |
11.470411178063 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4940e2 79040ca2 98800bn2 |
Quadratic twists by: -4 8 5 |