Atkin-Lehner |
2+ 3- 7- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
100674z |
Isogeny class |
Conductor |
100674 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2.6692589665788E+19 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 6 -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-331372559952,-73421362206339840] |
[a1,a2,a3,a4,a6] |
Generators |
[198341458085239662316071022915574457842936703466752645327056643103950:-619977449232416879085411785855953514855043175311152451775184478667358547:20234535916715908123692775362203386844567343282544670902625000] |
Generators of the group modulo torsion |
j |
5520085599389476873265577675407418625/36615349335785472 |
j-invariant |
L |
5.4228196175772 |
L(r)(E,1)/r! |
Ω |
0.0062924593547712 |
Real period |
R |
107.72456586202 |
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 |
33558bk2 |
Quadratic twists by: -3 |