Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
50400g |
Isogeny class |
Conductor |
50400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-192893400000000 = -1 · 29 · 39 · 58 · 72 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-675,-668250] |
[a1,a2,a3,a4,a6] |
j |
-216/1225 |
j-invariant |
L |
2.0591398472681 |
L(r)(E,1)/r! |
Ω |
0.25739248083467 |
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 |
50400a2 100800jp2 50400cj2 10080bh2 |
Quadratic twists by: -4 8 -3 5 |