Atkin-Lehner |
2- 3+ 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
67146f |
Isogeny class |
Conductor |
67146 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
239400 |
Modular degree for the optimal curve |
Δ |
-50543083610016 = -1 · 25 · 3 · 198 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 -1 -1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9574,-500989] |
[a1,a2,a3,a4,a6] |
j |
-5714497/2976 |
j-invariant |
L |
3.5332432922287 |
L(r)(E,1)/r! |
Ω |
0.23554955211101 |
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 |
67146e1 |
Quadratic twists by: -19 |