Atkin-Lehner |
3- 11+ 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
79101c |
Isogeny class |
Conductor |
79101 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2644992 |
Modular degree for the optimal curve |
Δ |
4.1337252460495E+19 |
Discriminant |
Eigenvalues |
1 3- -1 -5 11+ -5 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1336155,507987692] |
[a1,a2,a3,a4,a6] |
j |
361881923610251311281/56704050014395949 |
j-invariant |
L |
0.38985505024916 |
L(r)(E,1)/r! |
Ω |
0.19492751377032 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8789c1 |
Quadratic twists by: -3 |