Atkin-Lehner |
2+ 3- 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
54978n |
Isogeny class |
Conductor |
54978 |
Conductor |
∏ cp |
324 |
Product of Tamagawa factors cp |
deg |
2674944 |
Modular degree for the optimal curve |
Δ |
-1.5571825558161E+21 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 11+ 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1549406,2038409552] |
[a1,a2,a3,a4,a6] |
Generators |
[-1275:44701:1] |
Generators of the group modulo torsion |
j |
-171327409922416869625/648555833326148352 |
j-invariant |
L |
5.26101365659 |
L(r)(E,1)/r! |
Ω |
0.1315120782771 |
Real period |
R |
1.1112231678678 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000182 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
54978g1 |
Quadratic twists by: -7 |