Atkin-Lehner |
2- 3+ 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
78078cb |
Isogeny class |
Conductor |
78078 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
17611776 |
Modular degree for the optimal curve |
Δ |
-1.1185266675332E+24 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11+ 13- -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-83622809,298661683367] |
[a1,a2,a3,a4,a6] |
Generators |
[3759:191656:1] |
Generators of the group modulo torsion |
j |
-6098286132006199669/105476612161536 |
j-invariant |
L |
6.4583036331993 |
L(r)(E,1)/r! |
Ω |
0.087137743426093 |
Real period |
R |
1.3235005413921 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999369 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78078v1 |
Quadratic twists by: 13 |