Atkin-Lehner |
2+ 7- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
51646d |
Isogeny class |
Conductor |
51646 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
316800 |
Modular degree for the optimal curve |
Δ |
-6876354310045696 = -1 · 233 · 72 · 17 · 312 |
Discriminant |
Eigenvalues |
2+ 0 1 7- 0 0 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-208154,-36718284] |
[a1,a2,a3,a4,a6] |
j |
-20355561584657058249/140333761429504 |
j-invariant |
L |
0.89368484219108 |
L(r)(E,1)/r! |
Ω |
0.11171060530473 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51646c1 |
Quadratic twists by: -7 |