Atkin-Lehner |
2- 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
81200cb |
Isogeny class |
Conductor |
81200 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-62168750000 = -1 · 24 · 58 · 73 · 29 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ 0 -4 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,167,11912] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:100:1] |
Generators of the group modulo torsion |
j |
81920/9947 |
j-invariant |
L |
3.6891900212067 |
L(r)(E,1)/r! |
Ω |
0.85055827146185 |
Real period |
R |
1.4457916043288 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999934694 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20300o1 81200bj1 |
Quadratic twists by: -4 5 |