Atkin-Lehner |
2+ 3+ 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
91350k |
Isogeny class |
Conductor |
91350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1457280 |
Modular degree for the optimal curve |
Δ |
449003520000000000 = 223 · 33 · 510 · 7 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -6 -1 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-388242,87448916] |
[a1,a2,a3,a4,a6] |
j |
24545285075475/1702887424 |
j-invariant |
L |
0.58222394190603 |
L(r)(E,1)/r! |
Ω |
0.29111194968618 |
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 |
91350dq1 91350ds1 |
Quadratic twists by: -3 5 |