Atkin-Lehner |
2- 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
71400dj |
Isogeny class |
Conductor |
71400 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
2534400 |
Modular degree for the optimal curve |
Δ |
-2.6616672816427E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -5 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2958208,1975008337] |
[a1,a2,a3,a4,a6] |
Generators |
[3256:-163863:1] |
Generators of the group modulo torsion |
j |
-286292506333578400000/2661667281642663 |
j-invariant |
L |
4.5551687877368 |
L(r)(E,1)/r! |
Ω |
0.21227848847139 |
Real period |
R |
0.17882047382233 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001861 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71400bf1 |
Quadratic twists by: 5 |