Atkin-Lehner |
2- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
69440dz |
Isogeny class |
Conductor |
69440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-39819673600 = -1 · 220 · 52 · 72 · 31 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 0 -6 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,735,-5537] |
[a1,a2,a3,a4,a6] |
Generators |
[21:140:1] |
Generators of the group modulo torsion |
j |
167284151/151900 |
j-invariant |
L |
3.102279082662 |
L(r)(E,1)/r! |
Ω |
0.63004262657169 |
Real period |
R |
1.2309798386486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998279 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69440bd1 17360y1 |
Quadratic twists by: -4 8 |