Atkin-Lehner |
2- 3+ 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
121800bj |
Isogeny class |
Conductor |
121800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1559040 |
Modular degree for the optimal curve |
Δ |
-3730826263500000000 = -1 · 28 · 37 · 59 · 76 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -3 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,363167,-39365963] |
[a1,a2,a3,a4,a6] |
Generators |
[267:8750:1] [22211:3311322:1] |
Generators of the group modulo torsion |
j |
10594284891136/7461652527 |
j-invariant |
L |
10.025673267386 |
L(r)(E,1)/r! |
Ω |
0.14035117925821 |
Real period |
R |
8.9290960375648 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999987336 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121800z1 |
Quadratic twists by: 5 |