Atkin-Lehner |
2- 3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
91350ek |
Isogeny class |
Conductor |
91350 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
-1745725685760000000 = -1 · 224 · 38 · 57 · 7 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-264380,-82266753] |
[a1,a2,a3,a4,a6] |
j |
-179415687049201/153259868160 |
j-invariant |
L |
4.8776814956335 |
L(r)(E,1)/r! |
Ω |
0.10161836568693 |
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 |
30450l1 18270m1 |
Quadratic twists by: -3 5 |