Atkin-Lehner |
2+ 7- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
4522c |
Isogeny class |
Conductor |
4522 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
3120 |
Modular degree for the optimal curve |
Δ |
-12085822784 = -1 · 26 · 7 · 175 · 19 |
Discriminant |
Eigenvalues |
2+ -1 3 7- -4 -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,574,52] |
[a1,a2,a3,a4,a6] |
Generators |
[108:1102:1] |
Generators of the group modulo torsion |
j |
20858191412183/12085822784 |
j-invariant |
L |
2.6703931066573 |
L(r)(E,1)/r! |
Ω |
0.75415251923967 |
Real period |
R |
0.35409191622797 |
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 |
36176u1 40698bn1 113050bq1 31654g1 |
Quadratic twists by: -4 -3 5 -7 |