Atkin-Lehner |
2+ 7- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
79618m |
Isogeny class |
Conductor |
79618 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
12640320 |
Modular degree for the optimal curve |
Δ |
7.5193944450533E+22 |
Discriminant |
Eigenvalues |
2+ 1 1 7- 11- 5 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-109258768,-439385642786] |
[a1,a2,a3,a4,a6] |
Generators |
[-51170443684341322:125390095445329997:8562281911912] |
Generators of the group modulo torsion |
j |
5561164633186146721/2899052068864 |
j-invariant |
L |
6.8661035360861 |
L(r)(E,1)/r! |
Ω |
0.046698084727606 |
Real period |
R |
24.50530029278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79618s1 |
Quadratic twists by: -11 |