Atkin-Lehner |
2- 3+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
29232u |
Isogeny class |
Conductor |
29232 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
794880 |
Modular degree for the optimal curve |
Δ |
-6727183258267680768 = -1 · 235 · 39 · 73 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 1 -3 8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13768515,19664708418] |
[a1,a2,a3,a4,a6] |
Generators |
[481:114688:1] |
Generators of the group modulo torsion |
j |
-3580418379458257875/83441483776 |
j-invariant |
L |
5.9423630113839 |
L(r)(E,1)/r! |
Ω |
0.21922151705469 |
Real period |
R |
1.1294441445996 |
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 |
3654a1 116928db1 29232w1 |
Quadratic twists by: -4 8 -3 |