Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200cd |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-576588478258800 = -1 · 24 · 36 · 52 · 711 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -1 4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12495,-1274245] |
[a1,a2,a3,a4,a6] |
Generators |
[151:531:1] |
Generators of the group modulo torsion |
j |
-6288640/16807 |
j-invariant |
L |
6.7102171439495 |
L(r)(E,1)/r! |
Ω |
0.20972663499971 |
Real period |
R |
3.9993830243067 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999908304 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9800bh1 88200id1 12600t1 |
Quadratic twists by: -3 5 -7 |