Atkin-Lehner |
2- 3+ 5- 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
20670y |
Isogeny class |
Conductor |
20670 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
584861019210000 = 24 · 36 · 54 · 134 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-48295,3895757] |
[a1,a2,a3,a4,a6] |
Generators |
[237:2296:1] |
Generators of the group modulo torsion |
j |
12457496831150807281/584861019210000 |
j-invariant |
L |
7.6358196044694 |
L(r)(E,1)/r! |
Ω |
0.51047425868374 |
Real period |
R |
3.7395713273371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
62010l2 103350n2 |
Quadratic twists by: -3 5 |