Atkin-Lehner |
2- 3+ 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
67620j |
Isogeny class |
Conductor |
67620 |
Conductor |
∏ cp |
13 |
Product of Tamagawa factors cp |
deg |
3380832 |
Modular degree for the optimal curve |
Δ |
7768970097656250000 = 24 · 3 · 513 · 78 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 3 2 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10314810,12753607917] |
[a1,a2,a3,a4,a6] |
j |
1315840197052976896/84228515625 |
j-invariant |
L |
2.8871464475854 |
L(r)(E,1)/r! |
Ω |
0.22208818842788 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67620be1 |
Quadratic twists by: -7 |