Atkin-Lehner |
2- 17- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
90304s |
Isogeny class |
Conductor |
90304 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
291840 |
Modular degree for the optimal curve |
Δ |
-3420698181632 = -1 · 223 · 173 · 83 |
Discriminant |
Eigenvalues |
2- 1 0 4 -3 7 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-45153,-3709153] |
[a1,a2,a3,a4,a6] |
Generators |
[84049:2176:343] |
Generators of the group modulo torsion |
j |
-38837676489625/13048928 |
j-invariant |
L |
9.7571604391723 |
L(r)(E,1)/r! |
Ω |
0.16375265559308 |
Real period |
R |
4.9653955252311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992347 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90304k1 22576g1 |
Quadratic twists by: -4 8 |