Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50960v |
Isogeny class |
Conductor |
50960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-4.954677550152E+32 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 3 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-39594506856,-3216060481591756] |
[a1,a2,a3,a4,a6] |
Generators |
[140863463139177923527130833236453710842067596876122952861570806817127674935162746620923642588:-153311475300463462183024892844429345471065836724367385786059882205587719103657319423571619513670:115538884081158550977745515401755800843038029536348582403987333883225635419213888031857] |
Generators of the group modulo torsion |
j |
-14245586655234650511684983641/1028175397808386133196800 |
j-invariant |
L |
6.0868672033495 |
L(r)(E,1)/r! |
Ω |
0.0053291822906178 |
Real period |
R |
142.77207251067 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6370b3 7280u3 |
Quadratic twists by: -4 -7 |