Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800j |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
92610000000000 = 210 · 33 · 510 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -2 -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31800,2133000] |
[a1,a2,a3,a4,a6] |
Generators |
[70:500:1] |
Generators of the group modulo torsion |
j |
8232302592/214375 |
j-invariant |
L |
5.7230971657429 |
L(r)(E,1)/r! |
Ω |
0.60046086694513 |
Real period |
R |
2.382793565669 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008686 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800jt1 12600a1 100800i1 20160w1 |
Quadratic twists by: -4 8 -3 5 |