Atkin-Lehner |
2- 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
71400cx |
Isogeny class |
Conductor |
71400 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
37784880000000 = 210 · 34 · 57 · 73 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15549408,23605558812] |
[a1,a2,a3,a4,a6] |
Generators |
[2278:84:1] [3798:138996:1] |
Generators of the group modulo torsion |
j |
25986353070364640356/2361555 |
j-invariant |
L |
9.0907902858373 |
L(r)(E,1)/r! |
Ω |
0.36335908877276 |
Real period |
R |
4.169791705031 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999598 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14280o3 |
Quadratic twists by: 5 |