Atkin-Lehner |
3+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
32193b |
Isogeny class |
Conductor |
32193 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-79536959397 = -1 · 33 · 79 · 73 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- -4 3 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1259,-21584] |
[a1,a2,a3,a4,a6] |
j |
-69426531/25039 |
j-invariant |
L |
1.5745985196399 |
L(r)(E,1)/r! |
Ω |
0.39364962990909 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32193a1 4599b1 |
Quadratic twists by: -3 -7 |