Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
25200b |
Isogeny class |
Conductor |
25200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
756000000 = 28 · 33 · 56 · 7 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 2 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2775,-56250] |
[a1,a2,a3,a4,a6] |
Generators |
[105:900:1] |
Generators of the group modulo torsion |
j |
21882096/7 |
j-invariant |
L |
5.4108609777368 |
L(r)(E,1)/r! |
Ω |
0.65779738892461 |
Real period |
R |
2.0564314593064 |
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 |
12600bl2 100800iu2 25200e2 1008d2 |
Quadratic twists by: -4 8 -3 5 |