Atkin-Lehner |
2- 3+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
10320ba |
Isogeny class |
Conductor |
10320 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-3209932800 = -1 · 212 · 36 · 52 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 3 5 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,155,-2675] |
[a1,a2,a3,a4,a6] |
j |
99897344/783675 |
j-invariant |
L |
2.8145257148631 |
L(r)(E,1)/r! |
Ω |
0.70363142871578 |
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 |
645f1 41280cx1 30960bp1 51600cz1 |
Quadratic twists by: -4 8 -3 5 |