Atkin-Lehner |
2+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
73034a |
Isogeny class |
Conductor |
73034 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3706560 |
Modular degree for the optimal curve |
Δ |
-1.1420877762858E+21 |
Discriminant |
Eigenvalues |
2+ 0 1 -2 1 13+ 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-21777299,39155196341] |
[a1,a2,a3,a4,a6] |
Generators |
[22190:62667:8] |
Generators of the group modulo torsion |
j |
-51532421181502689/51528116224 |
j-invariant |
L |
4.3729917133499 |
L(r)(E,1)/r! |
Ω |
0.15366875700897 |
Real period |
R |
7.1143149042498 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000284 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1378c1 |
Quadratic twists by: 53 |