Atkin-Lehner |
2- 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
64680dd |
Isogeny class |
Conductor |
64680 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
91392 |
Modular degree for the optimal curve |
Δ |
-4870103884800 = -1 · 210 · 3 · 52 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11+ 4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-800,-106800] |
[a1,a2,a3,a4,a6] |
j |
-9604/825 |
j-invariant |
L |
4.0800976984772 |
L(r)(E,1)/r! |
Ω |
0.34000814176307 |
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 |
129360bi1 64680bj1 |
Quadratic twists by: -4 -7 |