Atkin-Lehner |
2- 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
88218bx |
Isogeny class |
Conductor |
88218 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1009617847845857172 = 22 · 314 · 137 · 292 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-354756551,2571927517995] |
[a1,a2,a3,a4,a6] |
Generators |
[-14090:14298357:8] |
Generators of the group modulo torsion |
j |
1403225087856519288817/286925652 |
j-invariant |
L |
7.2382445444022 |
L(r)(E,1)/r! |
Ω |
0.16176792618895 |
Real period |
R |
2.7965388093639 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007238 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29406f6 6786e5 |
Quadratic twists by: -3 13 |