Atkin-Lehner |
2- 5+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
67100f |
Isogeny class |
Conductor |
67100 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
131328 |
Modular degree for the optimal curve |
Δ |
14070031250000 = 24 · 59 · 112 · 612 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 11- -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6633,-105512] |
[a1,a2,a3,a4,a6] |
Generators |
[143:-1375:1] |
Generators of the group modulo torsion |
j |
129115734016/56280125 |
j-invariant |
L |
4.9056546886851 |
L(r)(E,1)/r! |
Ω |
0.55051700721379 |
Real period |
R |
0.74258297566706 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000447 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13420i1 |
Quadratic twists by: 5 |