Atkin-Lehner |
2- 3- 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
67146l |
Isogeny class |
Conductor |
67146 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
-1572092072605937664 = -1 · 212 · 36 · 198 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 4 -2 -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,23638,-60306780] |
[a1,a2,a3,a4,a6] |
j |
31047965207/33416146944 |
j-invariant |
L |
8.9688921500448 |
L(r)(E,1)/r! |
Ω |
0.12456794663962 |
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 |
3534a1 |
Quadratic twists by: -19 |