Atkin-Lehner |
5+ 41- 53- |
Signs for the Atkin-Lehner involutions |
Class |
54325d |
Isogeny class |
Conductor |
54325 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
228480 |
Modular degree for the optimal curve |
Δ |
2398585411328125 = 58 · 415 · 53 |
Discriminant |
Eigenvalues |
0 1 5+ -2 0 4 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-149783,-22237406] |
[a1,a2,a3,a4,a6] |
Generators |
[-226:348:1] |
Generators of the group modulo torsion |
j |
23784507336392704/153509466325 |
j-invariant |
L |
4.7044101503108 |
L(r)(E,1)/r! |
Ω |
0.24277421250582 |
Real period |
R |
1.9377717681298 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000156 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10865b1 |
Quadratic twists by: 5 |