Atkin-Lehner |
2+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
41552a |
Isogeny class |
Conductor |
41552 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
312867279872 = 210 · 78 · 53 |
Discriminant |
Eigenvalues |
2+ 0 0 7+ -1 5 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1715,4802] |
[a1,a2,a3,a4,a6] |
Generators |
[49:196:1] |
Generators of the group modulo torsion |
j |
94500/53 |
j-invariant |
L |
5.3829808468558 |
L(r)(E,1)/r! |
Ω |
0.83577203248482 |
Real period |
R |
0.53672738474408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20776i1 41552e1 |
Quadratic twists by: -4 -7 |