Atkin-Lehner |
2+ 3- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78078bm |
Isogeny class |
Conductor |
78078 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
16515072 |
Modular degree for the optimal curve |
Δ |
-2.0558732833916E+24 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11+ 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,14131100,-65884479646] |
[a1,a2,a3,a4,a6] |
Generators |
[3084719435:-830010628091:42875] |
Generators of the group modulo torsion |
j |
64653427259057355263/425928037217050368 |
j-invariant |
L |
7.3843821724061 |
L(r)(E,1)/r! |
Ω |
0.041263673707993 |
Real period |
R |
11.184750276353 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999971088 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6006bd1 |
Quadratic twists by: 13 |