Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800z |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
7236516459375000000 = 26 · 39 · 511 · 76 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 0 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2889675,1886260500] |
[a1,a2,a3,a4,a6] |
j |
135574940230848/367653125 |
j-invariant |
L |
1.4173519018937 |
L(r)(E,1)/r! |
Ω |
0.2362253247296 |
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 |
100800m1 50400cm2 100800bf1 20160p1 |
Quadratic twists by: -4 8 -3 5 |