Atkin-Lehner |
2- 3+ 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
67620h |
Isogeny class |
Conductor |
67620 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
284256 |
Modular degree for the optimal curve |
Δ |
-38186041824000 = -1 · 28 · 32 · 53 · 78 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -2 0 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-67685,-6761775] |
[a1,a2,a3,a4,a6] |
Generators |
[1280:44745:1] |
Generators of the group modulo torsion |
j |
-23237165056/25875 |
j-invariant |
L |
5.0105509713077 |
L(r)(E,1)/r! |
Ω |
0.14798473555239 |
Real period |
R |
5.643094373346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000174 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67620bc1 |
Quadratic twists by: -7 |