Atkin-Lehner |
3+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
58989g |
Isogeny class |
Conductor |
58989 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
22032 |
Modular degree for the optimal curve |
Δ |
26014149 = 33 · 73 · 532 |
Discriminant |
Eigenvalues |
0 3+ -3 7- 0 -4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-777,8597] |
[a1,a2,a3,a4,a6] |
Generators |
[122:-67:8] [11:35:1] |
Generators of the group modulo torsion |
j |
18492424192/9261 |
j-invariant |
L |
6.0204758344296 |
L(r)(E,1)/r! |
Ω |
2.0876089814801 |
Real period |
R |
0.96130324018804 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58989r1 |
Quadratic twists by: 53 |