Atkin-Lehner |
2- 23- |
Signs for the Atkin-Lehner involutions |
Class |
33856bh |
Isogeny class |
Conductor |
33856 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-69337088 = -1 · 217 · 232 |
Discriminant |
Eigenvalues |
2- -1 -2 2 -4 -4 7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,31,385] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:16:1] |
Generators of the group modulo torsion |
j |
46 |
j-invariant |
L |
3.1487507491571 |
L(r)(E,1)/r! |
Ω |
1.4598047409218 |
Real period |
R |
0.53924176653386 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33856h1 8464b1 33856bg1 |
Quadratic twists by: -4 8 -23 |