Atkin-Lehner |
3+ 5+ 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
46725a |
Isogeny class |
Conductor |
46725 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
-766726148671875 = -1 · 38 · 57 · 75 · 89 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 3 -4 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,12850,1213875] |
[a1,a2,a3,a4,a6] |
Generators |
[230:3935:1] |
Generators of the group modulo torsion |
j |
15016207463711/49070473515 |
j-invariant |
L |
4.500666529218 |
L(r)(E,1)/r! |
Ω |
0.3570913550299 |
Real period |
R |
1.5754604759495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9345b1 |
Quadratic twists by: 5 |