Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920dp |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
218566656000000 = 218 · 32 · 56 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15905,294975] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:960:1] |
Generators of the group modulo torsion |
j |
1697509118089/833765625 |
j-invariant |
L |
9.6826544100126 |
L(r)(E,1)/r! |
Ω |
0.49767678035626 |
Real period |
R |
1.6213090489131 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000936 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
73920fd2 1155c2 |
Quadratic twists by: -4 8 |