Atkin-Lehner |
5- 7- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
78155h |
Isogeny class |
Conductor |
78155 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.8972295620433E+19 |
Discriminant |
Eigenvalues |
1 -2 5- 7- 11+ 6 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-698178,80574323] |
[a1,a2,a3,a4,a6] |
Generators |
[-101:12300:1] |
Generators of the group modulo torsion |
j |
319913861015774089/161261851953125 |
j-invariant |
L |
5.7401875609948 |
L(r)(E,1)/r! |
Ω |
0.19218281114386 |
Real period |
R |
1.8667732064126 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999603 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11165b2 |
Quadratic twists by: -7 |