Atkin-Lehner |
2- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54208cb |
Isogeny class |
Conductor |
54208 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
-2409270351724544 = -1 · 215 · 73 · 118 |
Discriminant |
Eigenvalues |
2- -1 2 7+ 11- 5 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-573217,167250305] |
[a1,a2,a3,a4,a6] |
Generators |
[565:4840:1] |
Generators of the group modulo torsion |
j |
-2965447496/343 |
j-invariant |
L |
5.1795969220216 |
L(r)(E,1)/r! |
Ω |
0.44107638100714 |
Real period |
R |
0.9785903200041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999793 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54208cr1 27104d1 54208cv1 |
Quadratic twists by: -4 8 -11 |