Atkin-Lehner |
2+ 3+ 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
10650b |
Isogeny class |
Conductor |
10650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7.372277878543E+26 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -6 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-357911757750,-82416249599107500] |
[a1,a2,a3,a4,a6] |
Generators |
[6038912457188704006206011227408681937754307460376840918197284706987774011321557096475372720851973560036562905945:3606319879689577934769837062588520214536375530834060691718874902532707578926195475649329730707650566473508862940240:6906641437080255974084364292371134604503739593650428244596023179010637156365088061761205366896497676002569] |
Generators of the group modulo torsion |
j |
324512614167969952866880759071039841/47182578422675102760960 |
j-invariant |
L |
2.0909811806688 |
L(r)(E,1)/r! |
Ω |
0.0061724213285169 |
Real period |
R |
169.38095030943 |
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 |
85200de2 31950cl2 2130n2 |
Quadratic twists by: -4 -3 5 |