Atkin-Lehner |
2- 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
64680bm |
Isogeny class |
Conductor |
64680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-195673816800000 = -1 · 28 · 33 · 55 · 77 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11- -4 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-46321,-3880379] |
[a1,a2,a3,a4,a6] |
j |
-364954448896/6496875 |
j-invariant |
L |
1.3003358829639 |
L(r)(E,1)/r! |
Ω |
0.16254198569305 |
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 |
129360bx1 9240bi1 |
Quadratic twists by: -4 -7 |