Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800mo |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-51030000000000 = -1 · 210 · 36 · 510 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -5 0 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7500,425000] |
[a1,a2,a3,a4,a6] |
Generators |
[61:441:1] |
Generators of the group modulo torsion |
j |
-6400/7 |
j-invariant |
L |
4.0973548377379 |
L(r)(E,1)/r! |
Ω |
0.57452003327926 |
Real period |
R |
3.565893781462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023787 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100800fx1 25200bh1 11200cc1 100800qa1 |
Quadratic twists by: -4 8 -3 5 |