Atkin-Lehner |
2- 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520gm |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
140281528320 = 214 · 310 · 5 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 -4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2172,34544] |
[a1,a2,a3,a4,a6] |
Generators |
[40:108:1] |
Generators of the group modulo torsion |
j |
94875856/11745 |
j-invariant |
L |
7.8658906031198 |
L(r)(E,1)/r! |
Ω |
0.99824919127844 |
Real period |
R |
1.969921607047 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982881 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83520di1 20880l1 27840cj1 |
Quadratic twists by: -4 8 -3 |