Atkin-Lehner |
2+ 3+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78078s |
Isogeny class |
Conductor |
78078 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4472832 |
Modular degree for the optimal curve |
Δ |
-4.8210031303423E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- 11- 13+ -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2613926,1938470292] |
[a1,a2,a3,a4,a6] |
Generators |
[-772:59522:1] |
Generators of the group modulo torsion |
j |
-14327496611233/3497066496 |
j-invariant |
L |
5.6399045362388 |
L(r)(E,1)/r! |
Ω |
0.15814622203371 |
Real period |
R |
2.2289121352839 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002118 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78078by1 |
Quadratic twists by: 13 |