Atkin-Lehner |
2+ 3+ 7+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
50778b |
Isogeny class |
Conductor |
50778 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-5782731064249649328 = -1 · 24 · 39 · 76 · 132 · 314 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7+ -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2408064,-1442346256] |
[a1,a2,a3,a4,a6] |
Generators |
[4108:238732:1] |
Generators of the group modulo torsion |
j |
-78457884983764587027/293793175036816 |
j-invariant |
L |
1.579105385037 |
L(r)(E,1)/r! |
Ω |
0.060583617136976 |
Real period |
R |
3.2581113914864 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999085 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50778t2 |
Quadratic twists by: -3 |