Atkin-Lehner |
2- 3- 5+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
96720cs |
Isogeny class |
Conductor |
96720 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
6839840119357440000 = 218 · 32 · 54 · 136 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1708136,-850580940] |
[a1,a2,a3,a4,a6] |
Generators |
[739120774:38066750784:226981] |
Generators of the group modulo torsion |
j |
134564764541863949929/1669882841640000 |
j-invariant |
L |
7.1592195812465 |
L(r)(E,1)/r! |
Ω |
0.13215842535416 |
Real period |
R |
13.542873929037 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011622 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12090c2 |
Quadratic twists by: -4 |