Atkin-Lehner |
2+ 3+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
64386d |
Isogeny class |
Conductor |
64386 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
698880 |
Modular degree for the optimal curve |
Δ |
-59374022042022912 = -1 · 210 · 39 · 79 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 6 1 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8682,11729780] |
[a1,a2,a3,a4,a6] |
j |
-91125/74752 |
j-invariant |
L |
2.2712312102863 |
L(r)(E,1)/r! |
Ω |
0.28390390070764 |
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 |
64386z1 64386h1 |
Quadratic twists by: -3 -7 |