Atkin-Lehner |
3- 5+ 23- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
54855c |
Isogeny class |
Conductor |
54855 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
104960 |
Modular degree for the optimal curve |
Δ |
33788177240625 = 36 · 55 · 234 · 53 |
Discriminant |
Eigenvalues |
-1 3- 5+ 2 0 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-29468,1934182] |
[a1,a2,a3,a4,a6] |
Generators |
[160:-1219:1] |
Generators of the group modulo torsion |
j |
3881810679964281/46348665625 |
j-invariant |
L |
3.9074341790028 |
L(r)(E,1)/r! |
Ω |
0.65735331085736 |
Real period |
R |
1.4860479572216 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997773 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6095a1 |
Quadratic twists by: -3 |