Atkin-Lehner |
2- 5- 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
113050cz |
Isogeny class |
Conductor |
113050 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
5577600 |
Modular degree for the optimal curve |
Δ |
-2.401651794996E+20 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 5 0 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1438612,-338292719] |
[a1,a2,a3,a4,a6] |
j |
168587235838678483/122964571903796 |
j-invariant |
L |
8.2931355193646 |
L(r)(E,1)/r! |
Ω |
0.098727813234184 |
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 |
113050bd1 |
Quadratic twists by: 5 |