Atkin-Lehner |
2- 3- 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
129744cb |
Isogeny class |
Conductor |
129744 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
36502961651712 = 220 · 36 · 17 · 532 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 0 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40755,-3153422] |
[a1,a2,a3,a4,a6] |
Generators |
[-3309:640:27] |
Generators of the group modulo torsion |
j |
2507141976625/12224768 |
j-invariant |
L |
4.8656469397888 |
L(r)(E,1)/r! |
Ω |
0.33611026858579 |
Real period |
R |
3.6190852963132 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032625 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16218k1 14416e1 |
Quadratic twists by: -4 -3 |