Atkin-Lehner |
7- 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
32683d |
Isogeny class |
Conductor |
32683 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
241248 |
Modular degree for the optimal curve |
Δ |
4333452794909 = 710 · 232 · 29 |
Discriminant |
Eigenvalues |
2 -2 -3 7- 0 1 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-149662,22235105] |
[a1,a2,a3,a4,a6] |
j |
1312444198912/15341 |
j-invariant |
L |
1.4111802325521 |
L(r)(E,1)/r! |
Ω |
0.70559011628155 |
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 |
32683a1 |
Quadratic twists by: -7 |