Atkin-Lehner |
2- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
1078i |
Isogeny class |
Conductor |
1078 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-408161087488 = -1 · 212 · 77 · 112 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 11+ -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-181,30797] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:176:1] |
Generators of the group modulo torsion |
j |
-5545233/3469312 |
j-invariant |
L |
3.1585369241262 |
L(r)(E,1)/r! |
Ω |
0.76576548273732 |
Real period |
R |
0.68744652580308 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8624w1 34496bd1 9702w1 26950g1 |
Quadratic twists by: -4 8 -3 5 |