Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200ce |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-4391225395200 = -1 · 211 · 36 · 52 · 76 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -1 4 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2205,-92610] |
[a1,a2,a3,a4,a6] |
Generators |
[216818:1479212:4913] |
Generators of the group modulo torsion |
j |
270 |
j-invariant |
L |
6.4124709288962 |
L(r)(E,1)/r! |
Ω |
0.39456141088797 |
Real period |
R |
8.1260746162798 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999964689 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9800bl1 88200ie1 1800f1 |
Quadratic twists by: -3 5 -7 |