Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
39200cd |
Isogeny class |
Conductor |
39200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
322828856000000 = 29 · 56 · 79 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 4 6 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-88608,-10085788] |
[a1,a2,a3,a4,a6] |
Generators |
[-1527288:-1119950:9261] |
Generators of the group modulo torsion |
j |
238328 |
j-invariant |
L |
9.2076449043778 |
L(r)(E,1)/r! |
Ω |
0.27678371847871 |
Real period |
R |
8.3166424627375 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39200q2 78400da2 1568f2 39200ce2 |
Quadratic twists by: -4 8 5 -7 |