Atkin-Lehner |
2- 3- 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
99216bc |
Isogeny class |
Conductor |
99216 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2736000 |
Modular degree for the optimal curve |
Δ |
-3658747674410090496 = -1 · 237 · 36 · 13 · 532 |
Discriminant |
Eigenvalues |
2- 3- 1 -5 4 13+ -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1988427,1083143162] |
[a1,a2,a3,a4,a6] |
Generators |
[20397:94022:27] |
Generators of the group modulo torsion |
j |
-291182446516741129/1225307193344 |
j-invariant |
L |
5.7249604150408 |
L(r)(E,1)/r! |
Ω |
0.25047301904008 |
Real period |
R |
5.7141488107388 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992327 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12402h1 11024h1 |
Quadratic twists by: -4 -3 |