Atkin-Lehner |
2- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
67270bf |
Isogeny class |
Conductor |
67270 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
deg |
6635520 |
Modular degree for the optimal curve |
Δ |
-1.0822907736967E+22 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 2 -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2610096,-5262962671] |
[a1,a2,a3,a4,a6] |
j |
-2215761453033409/12194775040000 |
j-invariant |
L |
7.6838699933016 |
L(r)(E,1)/r! |
Ω |
0.053360208271834 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2170l1 |
Quadratic twists by: -31 |