Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200g |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
55589152500000000 = 28 · 33 · 510 · 77 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 2 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-106575,7117250] |
[a1,a2,a3,a4,a6] |
j |
10536048/4375 |
j-invariant |
L |
2.5583606317719 |
L(r)(E,1)/r! |
Ω |
0.31979507128079 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88200es2 17640bm2 12600c2 |
Quadratic twists by: -3 5 -7 |