Atkin-Lehner |
2+ 5- 23- 53- |
Signs for the Atkin-Lehner involutions |
Class |
60950d |
Isogeny class |
Conductor |
60950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
57419776000 = 214 · 53 · 232 · 53 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 4 2 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2707,-52299] |
[a1,a2,a3,a4,a6] |
j |
17553701436669/459358208 |
j-invariant |
L |
1.3258471154952 |
L(r)(E,1)/r! |
Ω |
0.66292355751841 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60950i1 |
Quadratic twists by: 5 |