Atkin-Lehner |
2- 3- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
90576ca |
Isogeny class |
Conductor |
90576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-87628549718016 = -1 · 218 · 312 · 17 · 37 |
Discriminant |
Eigenvalues |
2- 3- -3 1 3 -4 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,10941,-93886] |
[a1,a2,a3,a4,a6] |
Generators |
[103:1458:1] |
Generators of the group modulo torsion |
j |
48507321023/29346624 |
j-invariant |
L |
4.8215960895398 |
L(r)(E,1)/r! |
Ω |
0.35141977892908 |
Real period |
R |
1.71504151912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999948421 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11322i1 30192l1 |
Quadratic twists by: -4 -3 |