Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800ma |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
20575296000000 = 212 · 38 · 56 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12900,-520000] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:200:1] |
Generators of the group modulo torsion |
j |
5088448/441 |
j-invariant |
L |
6.1271073173723 |
L(r)(E,1)/r! |
Ω |
0.45044907041218 |
Real period |
R |
1.7002774881975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008751 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
100800oa2 50400di1 33600er2 4032bk2 |
Quadratic twists by: -4 8 -3 5 |