Atkin-Lehner |
2- 5+ 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
61360k |
Isogeny class |
Conductor |
61360 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
35424 |
Modular degree for the optimal curve |
Δ |
-5339854000 = -1 · 24 · 53 · 13 · 593 |
Discriminant |
Eigenvalues |
2- 2 5+ 1 3 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-241,-3720] |
[a1,a2,a3,a4,a6] |
Generators |
[31479914664:84629145052:1291467969] |
Generators of the group modulo torsion |
j |
-97152876544/333740875 |
j-invariant |
L |
9.7704079639208 |
L(r)(E,1)/r! |
Ω |
0.55651497166257 |
Real period |
R |
17.556415301355 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999905 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15340c1 |
Quadratic twists by: -4 |