Atkin-Lehner |
2- 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
71400dh |
Isogeny class |
Conductor |
71400 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-50183043750000 = -1 · 24 · 34 · 58 · 73 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -5 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8792,121537] |
[a1,a2,a3,a4,a6] |
Generators |
[192:-2975:1] [-8:225:1] |
Generators of the group modulo torsion |
j |
12024231680/8029287 |
j-invariant |
L |
8.8096556082119 |
L(r)(E,1)/r! |
Ω |
0.39796799815981 |
Real period |
R |
0.30745268076056 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000056 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71400bo1 |
Quadratic twists by: 5 |