Atkin-Lehner |
2- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54208bw |
Isogeny class |
Conductor |
54208 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-1611162671128772608 = -1 · 230 · 7 · 118 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ 11- 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28556,-61098224] |
[a1,a2,a3,a4,a6] |
Generators |
[1114905:105270121:125] |
Generators of the group modulo torsion |
j |
-5545233/3469312 |
j-invariant |
L |
4.2004928078041 |
L(r)(E,1)/r! |
Ω |
0.12007379317967 |
Real period |
R |
8.7456486060911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54208bd1 13552m1 4928bb1 |
Quadratic twists by: -4 8 -11 |