Atkin-Lehner |
2+ 3+ 5+ 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
53010a |
Isogeny class |
Conductor |
53010 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-16595298205466850 = -1 · 2 · 39 · 52 · 19 · 316 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 0 -6 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-78315,10487375] |
[a1,a2,a3,a4,a6] |
Generators |
[131:1504:1] |
Generators of the group modulo torsion |
j |
-2698798100290083/843128496950 |
j-invariant |
L |
4.0947504923504 |
L(r)(E,1)/r! |
Ω |
0.36961820654298 |
Real period |
R |
5.5391623301259 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998224 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53010bh2 |
Quadratic twists by: -3 |