Atkin-Lehner |
2- 3+ 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78078cg |
Isogeny class |
Conductor |
78078 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
3398914553253531312 = 24 · 3 · 72 · 116 · 138 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ 11- 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2059015,-1134594739] |
[a1,a2,a3,a4,a6] |
Generators |
[-827:2272:1] |
Generators of the group modulo torsion |
j |
200005594092187129/704174238768 |
j-invariant |
L |
5.9428876523887 |
L(r)(E,1)/r! |
Ω |
0.12605980304176 |
Real period |
R |
0.98215415583688 |
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 |
6006f2 |
Quadratic twists by: 13 |