Atkin-Lehner |
2- 3+ 5+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
13530o |
Isogeny class |
Conductor |
13530 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
13600 |
Modular degree for the optimal curve |
Δ |
-9753722880 = -1 · 217 · 3 · 5 · 112 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 11+ 4 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-746,-9481] |
[a1,a2,a3,a4,a6] |
Generators |
[41:155:1] |
Generators of the group modulo torsion |
j |
-45917324980129/9753722880 |
j-invariant |
L |
6.3042956574306 |
L(r)(E,1)/r! |
Ω |
0.45161579973801 |
Real period |
R |
0.41057124356639 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108240bx1 40590w1 67650bb1 |
Quadratic twists by: -4 -3 5 |