Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
54208bq |
Isogeny class |
Conductor |
54208 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
9123840 |
Modular degree for the optimal curve |
Δ |
-5.8509573797375E+22 |
Discriminant |
Eigenvalues |
2+ -3 -2 7- 11- 5 -8 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8140396,-14674967120] |
[a1,a2,a3,a4,a6] |
Generators |
[3974:125440:1] |
Generators of the group modulo torsion |
j |
-8773917273/8605184 |
j-invariant |
L |
2.3178137269268 |
L(r)(E,1)/r! |
Ω |
0.042979960097715 |
Real period |
R |
2.6963888771063 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000033 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54208ck1 1694j1 54208u1 |
Quadratic twists by: -4 8 -11 |