Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
50784l |
Isogeny class |
Conductor |
50784 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-175509504 = -1 · 212 · 34 · 232 |
Discriminant |
Eigenvalues |
2+ 3- -1 -2 4 -3 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1441,20591] |
[a1,a2,a3,a4,a6] |
Generators |
[23:-12:1] |
Generators of the group modulo torsion |
j |
-152827456/81 |
j-invariant |
L |
6.0362671995379 |
L(r)(E,1)/r! |
Ω |
1.7819914475645 |
Real period |
R |
0.21171072425006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999955 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50784t1 101568f1 50784k1 |
Quadratic twists by: -4 8 -23 |