Atkin-Lehner |
2- 3+ 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
121800bd |
Isogeny class |
Conductor |
121800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
594432 |
Modular degree for the optimal curve |
Δ |
-119364000000000 = -1 · 211 · 3 · 59 · 73 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 1 2 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-163408,25484812] |
[a1,a2,a3,a4,a6] |
Generators |
[297:1750:1] |
Generators of the group modulo torsion |
j |
-15079826167058/3730125 |
j-invariant |
L |
6.8997264724457 |
L(r)(E,1)/r! |
Ω |
0.57490811892509 |
Real period |
R |
1.0001201822539 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998844918 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24360k1 |
Quadratic twists by: 5 |