Atkin-Lehner |
2+ 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
3190c |
Isogeny class |
Conductor |
3190 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1474019775303680 = 212 · 5 · 112 · 296 |
Discriminant |
Eigenvalues |
2+ -2 5- 2 11- -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-103638,-12716824] |
[a1,a2,a3,a4,a6] |
Generators |
[-5001:12343:27] |
Generators of the group modulo torsion |
j |
123104735252886403801/1474019775303680 |
j-invariant |
L |
2.0215915787873 |
L(r)(E,1)/r! |
Ω |
0.26627764036867 |
Real period |
R |
3.796022031719 |
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 |
25520q4 102080b4 28710bd4 15950o4 |
Quadratic twists by: -4 8 -3 5 |