Atkin-Lehner |
2+ 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59850bu |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-808463618841375000 = -1 · 23 · 310 · 56 · 78 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,81108,-42356984] |
[a1,a2,a3,a4,a6] |
Generators |
[579:13798:1] |
Generators of the group modulo torsion |
j |
5180411077127/70976229912 |
j-invariant |
L |
4.8612179451439 |
L(r)(E,1)/r! |
Ω |
0.13847534141265 |
Real period |
R |
2.1940810433463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000234 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19950bz4 2394k4 |
Quadratic twists by: -3 5 |