Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
50820k |
Isogeny class |
Conductor |
50820 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
49408864634976000 = 28 · 3 · 53 · 74 · 118 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- -4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-220260,-38250408] |
[a1,a2,a3,a4,a6] |
Generators |
[-271:1210:1] |
Generators of the group modulo torsion |
j |
2605772594896/108945375 |
j-invariant |
L |
5.5668081128742 |
L(r)(E,1)/r! |
Ω |
0.2209454028566 |
Real period |
R |
2.0996167834859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4620d2 |
Quadratic twists by: -11 |