Atkin-Lehner |
2+ 3- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
86394bi |
Isogeny class |
Conductor |
86394 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
-8266374802186977168 = -1 · 24 · 310 · 74 · 118 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- 2 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-154641,-140308940] |
[a1,a2,a3,a4,a6] |
Generators |
[791:14850:1] |
Generators of the group modulo torsion |
j |
-230854057638625/4666153071888 |
j-invariant |
L |
6.0340183739905 |
L(r)(E,1)/r! |
Ω |
0.10045658423954 |
Real period |
R |
0.75082415231821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999958167 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7854n2 |
Quadratic twists by: -11 |