Atkin-Lehner |
2+ 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
70262a |
Isogeny class |
Conductor |
70262 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1256640 |
Modular degree for the optimal curve |
Δ |
-146388192411516928 = -1 · 228 · 193 · 433 |
Discriminant |
Eigenvalues |
2+ 2 -2 1 -6 -4 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-407076,101479376] |
[a1,a2,a3,a4,a6] |
Generators |
[96152:1008692:343] |
Generators of the group modulo torsion |
j |
-93831035167828531/1841198792704 |
j-invariant |
L |
3.9617949304689 |
L(r)(E,1)/r! |
Ω |
0.32610357887516 |
Real period |
R |
3.0372212893663 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003221 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70262h1 |
Quadratic twists by: -43 |