Atkin-Lehner |
2- 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
104400ew |
Isogeny class |
Conductor |
104400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-11558841750000 = -1 · 24 · 313 · 56 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -1 3 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11325,491875] |
[a1,a2,a3,a4,a6] |
Generators |
[50:225:1] [74:243:1] |
Generators of the group modulo torsion |
j |
-881395456/63423 |
j-invariant |
L |
10.977757127152 |
L(r)(E,1)/r! |
Ω |
0.70350023205525 |
Real period |
R |
1.9505603243401 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000605 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26100y1 34800cz1 4176bk1 |
Quadratic twists by: -4 -3 5 |