Atkin-Lehner |
2- 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
71400cm |
Isogeny class |
Conductor |
71400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
562509281250000 = 24 · 32 · 59 · 76 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 6 4 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26283,1186812] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:1125:1] |
Generators of the group modulo torsion |
j |
8032024643584/2250037125 |
j-invariant |
L |
5.5399651090641 |
L(r)(E,1)/r! |
Ω |
0.48264098154431 |
Real period |
R |
1.4348048861887 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000554 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14280s1 |
Quadratic twists by: 5 |