Atkin-Lehner |
2- 3- 7- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
92862by |
Isogeny class |
Conductor |
92862 |
Conductor |
∏ cp |
540 |
Product of Tamagawa factors cp |
deg |
449280 |
Modular degree for the optimal curve |
Δ |
1678269887433216 = 29 · 37 · 75 · 113 · 67 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 11- -3 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-31838,954605] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-701:1] |
Generators of the group modulo torsion |
j |
4895766888629401/2302153480704 |
j-invariant |
L |
10.121979264166 |
L(r)(E,1)/r! |
Ω |
0.42237535664772 |
Real period |
R |
0.044378550362908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004113 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30954j1 |
Quadratic twists by: -3 |