Atkin-Lehner |
2- 3+ 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
10320x |
Isogeny class |
Conductor |
10320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
-31703040 = -1 · 214 · 32 · 5 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -4 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,40,240] |
[a1,a2,a3,a4,a6] |
Generators |
[2:18:1] |
Generators of the group modulo torsion |
j |
1685159/7740 |
j-invariant |
L |
3.3527617499741 |
L(r)(E,1)/r! |
Ω |
1.4925868775891 |
Real period |
R |
1.1231378890955 |
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 |
1290i1 41280dd1 30960bi1 51600do1 |
Quadratic twists by: -4 8 -3 5 |