Atkin-Lehner |
3+ 5+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
78045a |
Isogeny class |
Conductor |
78045 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
142832105625 = 3 · 54 · 116 · 43 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 11- -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-83311,-9290236] |
[a1,a2,a3,a4,a6] |
Generators |
[-167:87:1] [46094:3471671:8] |
Generators of the group modulo torsion |
j |
36097320816649/80625 |
j-invariant |
L |
5.5538789664668 |
L(r)(E,1)/r! |
Ω |
0.28101143899042 |
Real period |
R |
19.76388927938 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000038 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
645a4 |
Quadratic twists by: -11 |