Atkin-Lehner |
2- 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
16450o |
Isogeny class |
Conductor |
16450 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
466560 |
Modular degree for the optimal curve |
Δ |
-994878547578125000 = -1 · 23 · 510 · 78 · 472 |
Discriminant |
Eigenvalues |
2- -3 5+ 7- 1 4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,185820,-36821553] |
[a1,a2,a3,a4,a6] |
Generators |
[575:15833:1] |
Generators of the group modulo torsion |
j |
72661310612775/101875563272 |
j-invariant |
L |
5.1296500332541 |
L(r)(E,1)/r! |
Ω |
0.14765134010823 |
Real period |
R |
0.72378421318624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16450h1 115150cq1 |
Quadratic twists by: 5 -7 |