Atkin-Lehner |
2- 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
50784t |
Isogeny class |
Conductor |
50784 |
Conductor |
∏ cp |
4 |
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 |
[55:252:1] |
Generators of the group modulo torsion |
j |
-152827456/81 |
j-invariant |
L |
3.9463796568933 |
L(r)(E,1)/r! |
Ω |
0.38740448583278 |
Real period |
R |
2.5466791178405 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999515 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50784l1 101568t1 50784s1 |
Quadratic twists by: -4 8 -23 |