Atkin-Lehner |
7- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
56749c |
Isogeny class |
Conductor |
56749 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
1.6092472961497E+28 |
Discriminant |
Eigenvalues |
1 0 -2 7- 11- 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14486979788,-671111363013481] |
[a1,a2,a3,a4,a6] |
Generators |
[-373610753006147552021839017418188851466402743428728:-503086067170368034567981477573932858326981009222081:5394574857887820815907127131537489442773545472] |
Generators of the group modulo torsion |
j |
189802165806189934309125676017/9083781456860333296997 |
j-invariant |
L |
5.3712700188435 |
L(r)(E,1)/r! |
Ω |
0.01376120099803 |
Real period |
R |
78.063971588882 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000275 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5159d4 |
Quadratic twists by: -11 |