Atkin-Lehner |
2+ 3- 5- |
Signs for the Atkin-Lehner involutions |
Class |
3600x |
Isogeny class |
Conductor |
3600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-255091680000 = -1 · 28 · 313 · 54 |
Discriminant |
Eigenvalues |
2+ 3- 5- 5 -6 -3 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2100,44300] |
[a1,a2,a3,a4,a6] |
Generators |
[49:243:1] |
Generators of the group modulo torsion |
j |
-8780800/2187 |
j-invariant |
L |
3.8167384165309 |
L(r)(E,1)/r! |
Ω |
0.9372090289693 |
Real period |
R |
1.0181129018594 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1800x1 14400fk1 1200d1 3600q1 |
Quadratic twists by: -4 8 -3 5 |