Atkin-Lehner |
2- 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680cr |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1024746187500000000 = 28 · 39 · 512 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -6 2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-986823,374160978] |
[a1,a2,a3,a4,a6] |
Generators |
[495570:30304638:125] |
Generators of the group modulo torsion |
j |
21091634831728368/203369140625 |
j-invariant |
L |
4.9442364393989 |
L(r)(E,1)/r! |
Ω |
0.27841923622028 |
Real period |
R |
8.8791214885224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999860765 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21420d4 85680db2 |
Quadratic twists by: -4 -3 |