Atkin-Lehner |
7- 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
32683c |
Isogeny class |
Conductor |
32683 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
89088 |
Modular degree for the optimal curve |
Δ |
-4333452794909 = -1 · 710 · 232 · 29 |
Discriminant |
Eigenvalues |
-1 1 3 7- 3 7 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-22149,-1274554] |
[a1,a2,a3,a4,a6] |
j |
-10214075575873/36833741 |
j-invariant |
L |
3.1300923708826 |
L(r)(E,1)/r! |
Ω |
0.19563077318022 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4669b1 |
Quadratic twists by: -7 |