Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488fk |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
95432218076676096 = 215 · 38 · 79 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11+ 0 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-123937,-7777055] |
[a1,a2,a3,a4,a6] |
Generators |
[464:5865:1] |
Generators of the group modulo torsion |
j |
159220088/72171 |
j-invariant |
L |
6.8647602006007 |
L(r)(E,1)/r! |
Ω |
0.26555087391502 |
Real period |
R |
6.4627542637905 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000043717 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103488ik2 51744br2 103488hu2 |
Quadratic twists by: -4 8 -7 |