Atkin-Lehner |
2- 3- 23+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
51888s |
Isogeny class |
Conductor |
51888 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
62807480082432 = 213 · 38 · 232 · 472 |
Discriminant |
Eigenvalues |
2- 3- -2 0 0 -4 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1120104,455911092] |
[a1,a2,a3,a4,a6] |
Generators |
[612:-54:1] [243:14076:1] |
Generators of the group modulo torsion |
j |
37943657921958184297/15333857442 |
j-invariant |
L |
10.190413103768 |
L(r)(E,1)/r! |
Ω |
0.50518172866125 |
Real period |
R |
1.2607360536838 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6486g2 |
Quadratic twists by: -4 |