Atkin-Lehner |
2- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
54208de |
Isogeny class |
Conductor |
54208 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-97140736 = -1 · 214 · 72 · 112 |
Discriminant |
Eigenvalues |
2- -2 -3 7- 11- -1 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-337,2319] |
[a1,a2,a3,a4,a6] |
Generators |
[5:28:1] [11:8:1] |
Generators of the group modulo torsion |
j |
-2141392/49 |
j-invariant |
L |
5.9672697871212 |
L(r)(E,1)/r! |
Ω |
1.8948685710741 |
Real period |
R |
0.39364668071243 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54208p1 13552bb1 54208ci1 |
Quadratic twists by: -4 8 -11 |