Atkin-Lehner |
2+ 3- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
8946l |
Isogeny class |
Conductor |
8946 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-21917037996 = -1 · 22 · 37 · 7 · 713 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- -3 -7 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-49581,4261761] |
[a1,a2,a3,a4,a6] |
Generators |
[-228:2031:1] [-15:2244:1] |
Generators of the group modulo torsion |
j |
-18490427676470737/30064524 |
j-invariant |
L |
3.8737223827071 |
L(r)(E,1)/r! |
Ω |
1.0304817059648 |
Real period |
R |
1.4096765474889 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
71568bm2 2982k2 62622bd2 |
Quadratic twists by: -4 -3 -7 |