Atkin-Lehner |
2+ 7- 19+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
109858f |
Isogeny class |
Conductor |
109858 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-30300772076867264 = -1 · 26 · 72 · 196 · 593 |
Discriminant |
Eigenvalues |
2+ -1 3 7- 0 4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-284946,-59260172] |
[a1,a2,a3,a4,a6] |
Generators |
[2892:151246:1] |
Generators of the group modulo torsion |
j |
-52217696301904353913/618383103609536 |
j-invariant |
L |
5.3438327213782 |
L(r)(E,1)/r! |
Ω |
0.10324580657089 |
Real period |
R |
4.3131959302188 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016493 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109858d2 |
Quadratic twists by: -7 |