Atkin-Lehner |
2- 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680dh |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5593190400 = 212 · 33 · 52 · 7 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 0 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1707,26906] |
[a1,a2,a3,a4,a6] |
Generators |
[5:136:1] |
Generators of the group modulo torsion |
j |
4973940243/50575 |
j-invariant |
L |
7.6889825924786 |
L(r)(E,1)/r! |
Ω |
1.3589297974986 |
Real period |
R |
0.7072645146018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004724 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5355b2 85680cs2 |
Quadratic twists by: -4 -3 |