Atkin-Lehner |
2+ 3+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
94302d |
Isogeny class |
Conductor |
94302 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-90570437611733664 = -1 · 25 · 39 · 136 · 313 |
Discriminant |
Eigenvalues |
2+ 3+ 3 4 3 13+ -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-73293,-16351867] |
[a1,a2,a3,a4,a6] |
Generators |
[2052322050743292743:398279625605368062152:54211869044423] |
Generators of the group modulo torsion |
j |
-458314011/953312 |
j-invariant |
L |
8.161845199349 |
L(r)(E,1)/r! |
Ω |
0.13611669032426 |
Real period |
R |
29.981059559654 |
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 |
94302bl1 558f2 |
Quadratic twists by: -3 13 |