Atkin-Lehner |
2+ 3- 5- 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
78390bd |
Isogeny class |
Conductor |
78390 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-13372236540 = -1 · 22 · 310 · 5 · 132 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-639,8505] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-63:1] |
Generators of the group modulo torsion |
j |
-39616946929/18343260 |
j-invariant |
L |
4.1100769865301 |
L(r)(E,1)/r! |
Ω |
1.175281466759 |
Real period |
R |
0.87427503579568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002062 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26130bb1 |
Quadratic twists by: -3 |