Atkin-Lehner |
2+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54208f |
Isogeny class |
Conductor |
54208 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-6146097836032 = -1 · 212 · 7 · 118 |
Discriminant |
Eigenvalues |
2+ 0 0 7+ 11- -2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2420,-127776] |
[a1,a2,a3,a4,a6] |
Generators |
[110:968:1] [390:7632:1] |
Generators of the group modulo torsion |
j |
-216000/847 |
j-invariant |
L |
9.2844030009018 |
L(r)(E,1)/r! |
Ω |
0.3108540662351 |
Real period |
R |
7.4668502115369 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54208ba1 27104c1 4928l1 |
Quadratic twists by: -4 8 -11 |