Atkin-Lehner |
2- 3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
19530bu |
Isogeny class |
Conductor |
19530 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-4271211000 = -1 · 23 · 39 · 53 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -1 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3488,-78469] |
[a1,a2,a3,a4,a6] |
Generators |
[207:2731:1] |
Generators of the group modulo torsion |
j |
-6435893935801/5859000 |
j-invariant |
L |
7.3119472469956 |
L(r)(E,1)/r! |
Ω |
0.31060715773058 |
Real period |
R |
3.9234700301284 |
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 |
6510j1 97650w1 |
Quadratic twists by: -3 5 |