Atkin-Lehner |
2+ 3- 7+ 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
126882q |
Isogeny class |
Conductor |
126882 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
996469943994 = 2 · 312 · 72 · 192 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 6 0 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-249408,48004110] |
[a1,a2,a3,a4,a6] |
Generators |
[303:276:1] |
Generators of the group modulo torsion |
j |
2353576410908255233/1366899786 |
j-invariant |
L |
4.3796871089567 |
L(r)(E,1)/r! |
Ω |
0.72308813491779 |
Real period |
R |
1.5142300305643 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000078562 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42294w2 |
Quadratic twists by: -3 |