Atkin-Lehner |
2- 5+ 17- 89- |
Signs for the Atkin-Lehner involutions |
Class |
60520h |
Isogeny class |
Conductor |
60520 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
199249269760 = 210 · 5 · 173 · 892 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 0 0 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-524083,146032062] |
[a1,a2,a3,a4,a6] |
Generators |
[539:4488:1] [1219:36312:1] |
Generators of the group modulo torsion |
j |
15546190059440616996/194579365 |
j-invariant |
L |
8.2003788764231 |
L(r)(E,1)/r! |
Ω |
0.70894498638602 |
Real period |
R |
3.8556724117706 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121040f2 |
Quadratic twists by: -4 |