Atkin-Lehner |
2+ 7- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
4774b |
Isogeny class |
Conductor |
4774 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
43804448072 = 23 · 72 · 112 · 314 |
Discriminant |
Eigenvalues |
2+ 2 -4 7- 11+ 0 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5022,134540] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:527:1] |
Generators of the group modulo torsion |
j |
14011639427134441/43804448072 |
j-invariant |
L |
3.1180444062865 |
L(r)(E,1)/r! |
Ω |
1.1440940319601 |
Real period |
R |
0.68133482021243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38192q2 42966bk2 119350bg2 33418k2 |
Quadratic twists by: -4 -3 5 -7 |