Atkin-Lehner |
2- 3+ 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78078cg |
Isogeny class |
Conductor |
78078 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
2064384 |
Modular degree for the optimal curve |
Δ |
-462015085780055808 = -1 · 28 · 32 · 74 · 113 · 137 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ 11- 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-71575,-33552979] |
[a1,a2,a3,a4,a6] |
Generators |
[499:7186:1] |
Generators of the group modulo torsion |
j |
-8401330071289/95718534912 |
j-invariant |
L |
5.9428876523887 |
L(r)(E,1)/r! |
Ω |
0.12605980304176 |
Real period |
R |
0.49107707791844 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986527 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6006f1 |
Quadratic twists by: 13 |