Atkin-Lehner |
2+ 3- 7+ 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
126882o |
Isogeny class |
Conductor |
126882 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4331520 |
Modular degree for the optimal curve |
Δ |
-75068439924485574 = -1 · 2 · 37 · 75 · 193 · 533 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ -5 6 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4823280,-4076013938] |
[a1,a2,a3,a4,a6] |
Generators |
[2561:17786:1] |
Generators of the group modulo torsion |
j |
-17022512318201387585281/102974540362806 |
j-invariant |
L |
3.0036942171735 |
L(r)(E,1)/r! |
Ω |
0.050937048739445 |
Real period |
R |
4.9140627769013 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998504007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42294p1 |
Quadratic twists by: -3 |