Atkin-Lehner |
2+ 3+ 7+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
107184c |
Isogeny class |
Conductor |
107184 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
25764673837056 = 211 · 3 · 72 · 112 · 294 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 11+ -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-759192,-254357040] |
[a1,a2,a3,a4,a6] |
Generators |
[-21547610:-387458:42875] |
Generators of the group modulo torsion |
j |
23629209946658198066/12580407147 |
j-invariant |
L |
6.3302257246264 |
L(r)(E,1)/r! |
Ω |
0.16173783116717 |
Real period |
R |
9.7847017053773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999918559 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53592k4 |
Quadratic twists by: -4 |