Atkin-Lehner |
3- 5- 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
63825p |
Isogeny class |
Conductor |
63825 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
136320 |
Modular degree for the optimal curve |
Δ |
2637767578125 = 3 · 59 · 233 · 37 |
Discriminant |
Eigenvalues |
1 3- 5- -3 -5 5 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6826,201923] |
[a1,a2,a3,a4,a6] |
Generators |
[3:424:1] |
Generators of the group modulo torsion |
j |
18005329061/1350537 |
j-invariant |
L |
6.9418577909822 |
L(r)(E,1)/r! |
Ω |
0.79282514267455 |
Real period |
R |
4.3779248520071 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000231 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63825i1 |
Quadratic twists by: 5 |