Atkin-Lehner |
2+ 3+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
88800f |
Isogeny class |
Conductor |
88800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
746496 |
Modular degree for the optimal curve |
Δ |
-124875000000000000 = -1 · 212 · 33 · 515 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -2 -1 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-403533,-99985563] |
[a1,a2,a3,a4,a6] |
j |
-113548651969024/1951171875 |
j-invariant |
L |
0.37845717781292 |
L(r)(E,1)/r! |
Ω |
0.094614289773783 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88800r1 17760w1 |
Quadratic twists by: -4 5 |