Atkin-Lehner |
2- 3+ 5- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
125400cd |
Isogeny class |
Conductor |
125400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
77839542000000000 = 210 · 34 · 59 · 113 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11+ 6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3542208,-2564799588] |
[a1,a2,a3,a4,a6] |
Generators |
[174954:25772877:8] |
Generators of the group modulo torsion |
j |
2457627272388788/38919771 |
j-invariant |
L |
4.5467340987598 |
L(r)(E,1)/r! |
Ω |
0.11004781960574 |
Real period |
R |
10.328996256304 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000070098 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125400bo2 |
Quadratic twists by: 5 |