Atkin-Lehner |
2+ 3+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
1410d |
Isogeny class |
Conductor |
1410 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
-1624320 = -1 · 28 · 33 · 5 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 -2 1 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,8,64] |
[a1,a2,a3,a4,a6] |
Generators |
[0:8:1] |
Generators of the group modulo torsion |
j |
46268279/1624320 |
j-invariant |
L |
1.8379620737488 |
L(r)(E,1)/r! |
Ω |
2.0140316338904 |
Real period |
R |
0.45628927639992 |
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 |
11280y1 45120z1 4230ba1 7050bc1 |
Quadratic twists by: -4 8 -3 5 |