Atkin-Lehner |
2+ 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
98736bh |
Isogeny class |
Conductor |
98736 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
5440613605853184 = 211 · 36 · 118 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 11- 0 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-99744,-11627244] |
[a1,a2,a3,a4,a6] |
Generators |
[-204:522:1] [-180:726:1] |
Generators of the group modulo torsion |
j |
30248395634/1499553 |
j-invariant |
L |
11.836288289399 |
L(r)(E,1)/r! |
Ω |
0.2694708919396 |
Real period |
R |
3.6603484344237 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000163 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49368z2 8976j2 |
Quadratic twists by: -4 -11 |