Atkin-Lehner |
2- 3+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
103428a |
Isogeny class |
Conductor |
103428 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-5739012864 = -1 · 28 · 33 · 132 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 1 13+ 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-624,-7020] |
[a1,a2,a3,a4,a6] |
j |
-23003136/4913 |
j-invariant |
L |
0.94442311999595 |
L(r)(E,1)/r! |
Ω |
0.47221171326845 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103428e1 103428b1 |
Quadratic twists by: -3 13 |