Atkin-Lehner |
2- 5- 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
61360t |
Isogeny class |
Conductor |
61360 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
12576 |
Modular degree for the optimal curve |
Δ |
-61360 = -1 · 24 · 5 · 13 · 59 |
Discriminant |
Eigenvalues |
2- 2 5- -1 -3 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-265,1752] |
[a1,a2,a3,a4,a6] |
Generators |
[264:8:27] |
Generators of the group modulo torsion |
j |
-129115734016/3835 |
j-invariant |
L |
8.6066945246194 |
L(r)(E,1)/r! |
Ω |
3.2630329047504 |
Real period |
R |
2.6376364491851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000185 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15340d1 |
Quadratic twists by: -4 |