Atkin-Lehner |
2- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
125840bw |
Isogeny class |
Conductor |
125840 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
117736615389250000 = 24 · 56 · 118 · 133 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 11- 13- -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-126001,4922876] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:3146:1] [376:3250:1] |
Generators of the group modulo torsion |
j |
64504152064/34328125 |
j-invariant |
L |
8.8617033884287 |
L(r)(E,1)/r! |
Ω |
0.29068664153499 |
Real period |
R |
1.6936342600857 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999971519 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31460f2 125840bk2 |
Quadratic twists by: -4 -11 |