Atkin-Lehner |
2- 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
103428x |
Isogeny class |
Conductor |
103428 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3669120 |
Modular degree for the optimal curve |
Δ |
-5.9783142289647E+19 |
Discriminant |
Eigenvalues |
2- 3- 3 4 5 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,685464,-301118623] |
[a1,a2,a3,a4,a6] |
j |
22151168/37179 |
j-invariant |
L |
5.6102044100403 |
L(r)(E,1)/r! |
Ω |
0.10389267593247 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34476e1 103428y1 |
Quadratic twists by: -3 13 |