Atkin-Lehner |
2+ 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
92400cz |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
-547714379520000 = -1 · 211 · 38 · 54 · 72 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11- -5 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14008,1289588] |
[a1,a2,a3,a4,a6] |
Generators |
[188:2310:1] [-142:660:1] |
Generators of the group modulo torsion |
j |
-237505212050/427901859 |
j-invariant |
L |
12.841526676974 |
L(r)(E,1)/r! |
Ω |
0.46386403213479 |
Real period |
R |
0.04806218116539 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995309 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46200w1 92400bc1 |
Quadratic twists by: -4 5 |