Atkin-Lehner |
2- 3+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
67620b |
Isogeny class |
Conductor |
67620 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
18265007250000 = 24 · 33 · 56 · 76 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8101,193726] |
[a1,a2,a3,a4,a6] |
Generators |
[-99:125:1] |
Generators of the group modulo torsion |
j |
31238127616/9703125 |
j-invariant |
L |
4.0569987786238 |
L(r)(E,1)/r! |
Ω |
0.63814236639239 |
Real period |
R |
2.1191712028676 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000143 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1380d1 |
Quadratic twists by: -7 |