Atkin-Lehner |
2+ 3- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78078bg |
Isogeny class |
Conductor |
78078 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
1123200 |
Modular degree for the optimal curve |
Δ |
25855754959948914 = 2 · 35 · 72 · 113 · 138 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 11- 13+ 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1148528,-473794540] |
[a1,a2,a3,a4,a6] |
Generators |
[-624:427:1] |
Generators of the group modulo torsion |
j |
205400318231641/31696434 |
j-invariant |
L |
6.7485888293425 |
L(r)(E,1)/r! |
Ω |
0.14583716881709 |
Real period |
R |
1.542494020904 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002318 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78078db1 |
Quadratic twists by: 13 |