Atkin-Lehner |
3+ 7+ 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
50337a |
Isogeny class |
Conductor |
50337 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
51072 |
Modular degree for the optimal curve |
Δ |
-119287968219 = -1 · 33 · 76 · 17 · 472 |
Discriminant |
Eigenvalues |
-2 3+ -1 7+ 3 -1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1227,-1568] |
[a1,a2,a3,a4,a6] |
Generators |
[58:514:1] [25:211:1] |
Generators of the group modulo torsion |
j |
7566475603968/4418072897 |
j-invariant |
L |
4.802913541228 |
L(r)(E,1)/r! |
Ω |
0.61833985326357 |
Real period |
R |
0.97092915729917 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999969 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50337b1 |
Quadratic twists by: -3 |