Atkin-Lehner |
2- 7+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
52976r |
Isogeny class |
Conductor |
52976 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1685800705605632 = 214 · 76 · 11 · 433 |
Discriminant |
Eigenvalues |
2- 2 0 7+ 11- -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-298522168,-1985140390800] |
[a1,a2,a3,a4,a6] |
Generators |
[396815725260360110252390170009287611437395952231523751191901882717961986:50501442920620035759995054450089058458372629554322114336623489879928747934:13729360185459168013247941371670876227301975847103325601120062410609] |
Generators of the group modulo torsion |
j |
718279590876134110626237625/411572437892 |
j-invariant |
L |
8.2037886649218 |
L(r)(E,1)/r! |
Ω |
0.036320800176123 |
Real period |
R |
112.93513118022 |
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 |
6622f2 |
Quadratic twists by: -4 |