Atkin-Lehner |
2- 5- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
2990f |
Isogeny class |
Conductor |
2990 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
256 |
Modular degree for the optimal curve |
Δ |
23920 = 24 · 5 · 13 · 23 |
Discriminant |
Eigenvalues |
2- 1 5- -3 -2 13+ -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-20,32] |
[a1,a2,a3,a4,a6] |
Generators |
[2:0:1] |
Generators of the group modulo torsion |
j |
887503681/23920 |
j-invariant |
L |
5.2827883505327 |
L(r)(E,1)/r! |
Ω |
3.7782994796524 |
Real period |
R |
0.3495480161765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23920r1 95680i1 26910o1 14950k1 |
Quadratic twists by: -4 8 -3 5 |