Atkin-Lehner |
7+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
32683b |
Isogeny class |
Conductor |
32683 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4320 |
Modular degree for the optimal curve |
Δ |
36833741 = 74 · 232 · 29 |
Discriminant |
Eigenvalues |
0 0 -1 7+ -2 -1 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-98,-233] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:10:1] [-5:11:1] |
Generators of the group modulo torsion |
j |
43352064/15341 |
j-invariant |
L |
6.4237927540283 |
L(r)(E,1)/r! |
Ω |
1.5616665252967 |
Real period |
R |
0.68557025992997 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32683f1 |
Quadratic twists by: -7 |