Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800ha |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-29760696000000000 = -1 · 212 · 312 · 59 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 -2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1500,8300000] |
[a1,a2,a3,a4,a6] |
Generators |
[26404:569349:64] |
Generators of the group modulo torsion |
j |
64/5103 |
j-invariant |
L |
7.4955433516287 |
L(r)(E,1)/r! |
Ω |
0.29451932882866 |
Real period |
R |
6.3625224341823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800ii2 50400ee1 33600bs2 100800ig2 |
Quadratic twists by: -4 8 -3 5 |