Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
88200fu |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
338688 |
Modular degree for the optimal curve |
Δ |
-726198899731200 = -1 · 28 · 39 · 52 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,20580,624260] |
[a1,a2,a3,a4,a6] |
Generators |
[49:1323:1] |
Generators of the group modulo torsion |
j |
35840/27 |
j-invariant |
L |
5.4647061319283 |
L(r)(E,1)/r! |
Ω |
0.32432957518496 |
Real period |
R |
0.70205157375479 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006874 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400a1 88200dh1 88200gq1 |
Quadratic twists by: -3 5 -7 |