Atkin-Lehner |
3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
13965b |
Isogeny class |
Conductor |
13965 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
2.8260487244278E+19 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 0 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-42575733,106909924248] |
[a1,a2,a3,a4,a6] |
Generators |
[101928:-32344:27] |
Generators of the group modulo torsion |
j |
72547406094380206981321/240210178108425 |
j-invariant |
L |
3.7220401126376 |
L(r)(E,1)/r! |
Ω |
0.18367171671425 |
Real period |
R |
3.3774389975242 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41895bw1 69825bx1 1995g1 |
Quadratic twists by: -3 5 -7 |