Atkin-Lehner |
3+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13965h |
Isogeny class |
Conductor |
13965 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
436800 |
Modular degree for the optimal curve |
Δ |
-2.2743237734253E+20 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- 2 -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-791415,774795881] |
[a1,a2,a3,a4,a6] |
Generators |
[-1045:21437:1] |
Generators of the group modulo torsion |
j |
-1358484641579008/5635986328125 |
j-invariant |
L |
3.4925253933459 |
L(r)(E,1)/r! |
Ω |
0.1539900029733 |
Real period |
R |
0.872315716283 |
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 |
41895r1 69825bm1 13965p1 |
Quadratic twists by: -3 5 -7 |