Atkin-Lehner |
3+ 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
56355b |
Isogeny class |
Conductor |
56355 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
34900526103080625 = 34 · 54 · 134 · 176 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 -4 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-150286,-20607142] |
[a1,a2,a3,a4,a6] |
Generators |
[2432:-119562:1] [-233:1468:1] |
Generators of the group modulo torsion |
j |
15551989015681/1445900625 |
j-invariant |
L |
4.9407467133094 |
L(r)(E,1)/r! |
Ω |
0.24392102134706 |
Real period |
R |
5.0638795766983 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
195a3 |
Quadratic twists by: 17 |