Atkin-Lehner |
3- 7+ 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
50337j |
Isogeny class |
Conductor |
50337 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
-45079933796798103 = -1 · 314 · 74 · 174 · 47 |
Discriminant |
Eigenvalues |
1 3- -2 7+ 0 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-49068,11051019] |
[a1,a2,a3,a4,a6] |
Generators |
[1158:38229:1] |
Generators of the group modulo torsion |
j |
-17922402738055873/61838043617007 |
j-invariant |
L |
5.171243843508 |
L(r)(E,1)/r! |
Ω |
0.3149873989569 |
Real period |
R |
4.1043259671682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000057 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16779h1 |
Quadratic twists by: -3 |