Atkin-Lehner |
2- 5+ 29+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
122960j |
Isogeny class |
Conductor |
122960 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
162816 |
Modular degree for the optimal curve |
Δ |
-88421027840 = -1 · 212 · 5 · 29 · 533 |
Discriminant |
Eigenvalues |
2- 3 5+ -1 3 -4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,677,-12598] |
[a1,a2,a3,a4,a6] |
Generators |
[1326:10070:27] |
Generators of the group modulo torsion |
j |
8377795791/21587165 |
j-invariant |
L |
12.477466315967 |
L(r)(E,1)/r! |
Ω |
0.55410566006455 |
Real period |
R |
3.7530345998932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024567 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7685b1 |
Quadratic twists by: -4 |