Atkin-Lehner |
2- 3+ 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
10320v |
Isogeny class |
Conductor |
10320 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
297216000000 = 214 · 33 · 56 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 6 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1720,-7568] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:80:1] |
Generators of the group modulo torsion |
j |
137467988281/72562500 |
j-invariant |
L |
4.1542538827821 |
L(r)(E,1)/r! |
Ω |
0.7865832447981 |
Real period |
R |
0.88023187845563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1290g1 41280db1 30960bf1 51600di1 |
Quadratic twists by: -4 8 -3 5 |