Atkin-Lehner |
3+ 5+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
78045a |
Isogeny class |
Conductor |
78045 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
737013665025 = 32 · 52 · 116 · 432 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 11- -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5266,-143362] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:87:1] [686:1347:8] |
Generators of the group modulo torsion |
j |
9116230969/416025 |
j-invariant |
L |
5.5538789664668 |
L(r)(E,1)/r! |
Ω |
0.56202287798084 |
Real period |
R |
4.940972319845 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000038 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
645a2 |
Quadratic twists by: -11 |