Atkin-Lehner |
2- 3+ 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
86394ci |
Isogeny class |
Conductor |
86394 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
Δ |
624506815424435328 = 27 · 34 · 76 · 116 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11- 0 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6676117,-6642152197] |
[a1,a2,a3,a4,a6] |
Generators |
[-1489:996:1] |
Generators of the group modulo torsion |
j |
18575453384550358633/352517816448 |
j-invariant |
L |
11.351478276395 |
L(r)(E,1)/r! |
Ω |
0.093922374587446 |
Real period |
R |
1.4388120690546 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002729 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
714a2 |
Quadratic twists by: -11 |