Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
25200bc |
Isogeny class |
Conductor |
25200 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
157529610000000000 = 210 · 38 · 510 · 74 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-135075,675250] |
[a1,a2,a3,a4,a6] |
j |
23366901604/13505625 |
j-invariant |
L |
2.1987540013253 |
L(r)(E,1)/r! |
Ω |
0.27484425016567 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12600ce4 100800mc3 8400w4 5040l3 |
Quadratic twists by: -4 8 -3 5 |