Atkin-Lehner |
2+ 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
89298l |
Isogeny class |
Conductor |
89298 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
22404096 |
Modular degree for the optimal curve |
Δ |
5.0626102716226E+24 |
Discriminant |
Eigenvalues |
2+ 3- 0 1 11- -6 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-133484742,-583614340556] |
[a1,a2,a3,a4,a6] |
Generators |
[78030526228:48035526008086:205379] |
Generators of the group modulo torsion |
j |
13911187791015625/267744227328 |
j-invariant |
L |
5.0770711154733 |
L(r)(E,1)/r! |
Ω |
0.044468184219351 |
Real period |
R |
14.271639388369 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29766bh1 89298cm1 |
Quadratic twists by: -3 -11 |