Atkin-Lehner |
3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
13965a |
Isogeny class |
Conductor |
13965 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
-2443875 = -1 · 3 · 53 · 73 · 19 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- 6 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,19,62] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:3:1] |
Generators of the group modulo torsion |
j |
2097152/7125 |
j-invariant |
L |
3.1838198025438 |
L(r)(E,1)/r! |
Ω |
1.8261698400324 |
Real period |
R |
0.87172061786087 |
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 |
41895bs1 69825bu1 13965w1 |
Quadratic twists by: -3 5 -7 |