Atkin-Lehner |
2- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
1034c |
Isogeny class |
Conductor |
1034 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
160 |
Modular degree for the optimal curve |
Δ |
-529408 = -1 · 210 · 11 · 47 |
Discriminant |
Eigenvalues |
2- -2 -2 1 11- 1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,11,33] |
[a1,a2,a3,a4,a6] |
Generators |
[2:7:1] |
Generators of the group modulo torsion |
j |
146363183/529408 |
j-invariant |
L |
2.5085134306153 |
L(r)(E,1)/r! |
Ω |
2.0798130952671 |
Real period |
R |
0.12061244523961 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8272k1 33088f1 9306d1 25850d1 |
Quadratic twists by: -4 8 -3 5 |