Atkin-Lehner |
2+ 3+ 5- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
119280f |
Isogeny class |
Conductor |
119280 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-8.1411657714844E+26 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,203174160,801190101600] |
[a1,a2,a3,a4,a6] |
Generators |
[349842370:-62972840950:24389] |
Generators of the group modulo torsion |
j |
452896720973903215259016478/397517859935760498046875 |
j-invariant |
L |
5.1920779361159 |
L(r)(E,1)/r! |
Ω |
0.032692825657913 |
Real period |
R |
13.23449878054 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000946 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
59640s5 |
Quadratic twists by: -4 |