Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696cd |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
92170395205042176 = 216 · 38 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-140844,14161840] |
[a1,a2,a3,a4,a6] |
Generators |
[-16970:693504:125] |
Generators of the group modulo torsion |
j |
3650692/1089 |
j-invariant |
L |
8.2305529809554 |
L(r)(E,1)/r! |
Ω |
0.31437423803925 |
Real period |
R |
6.5451872202089 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000299 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
69696gh2 8712k2 23232cb2 6336z2 |
Quadratic twists by: -4 8 -3 -11 |