Atkin-Lehner |
2+ 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680d |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
28212710400 = 210 · 33 · 52 · 74 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 6 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-843,4842] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:70:1] |
Generators of the group modulo torsion |
j |
2396308428/1020425 |
j-invariant |
L |
7.2804865580845 |
L(r)(E,1)/r! |
Ω |
1.0674621366788 |
Real period |
R |
0.8525462294613 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000465 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42840bf2 85680h2 |
Quadratic twists by: -4 -3 |