Atkin-Lehner |
2+ 5- 13- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
53950n |
Isogeny class |
Conductor |
53950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
50369722624000 = 211 · 53 · 134 · 832 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 4 13- 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-53152,-4690944] |
[a1,a2,a3,a4,a6] |
Generators |
[279:1323:1] |
Generators of the group modulo torsion |
j |
132854762542909581/402957780992 |
j-invariant |
L |
4.141196574194 |
L(r)(E,1)/r! |
Ω |
0.31448392841675 |
Real period |
R |
3.2920573994645 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999179 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53950ba2 |
Quadratic twists by: 5 |