Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680b |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-486431137520640 = -1 · 210 · 39 · 5 · 136 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -2 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4563,-1067742] |
[a1,a2,a3,a4,a6] |
Generators |
[91903:1411948:343] |
Generators of the group modulo torsion |
j |
-108/5 |
j-invariant |
L |
7.9703849161787 |
L(r)(E,1)/r! |
Ω |
0.22965016379989 |
Real period |
R |
8.6766592872258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012534 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60840bf1 121680g1 720b1 |
Quadratic twists by: -4 -3 13 |