Atkin-Lehner |
2- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54208cf |
Isogeny class |
Conductor |
54208 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-19274162813796352 = -1 · 218 · 73 · 118 |
Discriminant |
Eigenvalues |
2- 2 2 7+ 11- 4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,26943,6450017] |
[a1,a2,a3,a4,a6] |
Generators |
[-122565:7859008:3375] |
Generators of the group modulo torsion |
j |
4657463/41503 |
j-invariant |
L |
10.19372964777 |
L(r)(E,1)/r! |
Ω |
0.28266309366475 |
Real period |
R |
9.0157946653545 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999503 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54208bn1 13552s1 4928bh1 |
Quadratic twists by: -4 8 -11 |