Atkin-Lehner |
3- 5- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
119145i |
Isogeny class |
Conductor |
119145 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-260570115 = -1 · 38 · 5 · 132 · 47 |
Discriminant |
Eigenvalues |
0 3- 5- 0 -2 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,35,784] |
[a1,a2,a3,a4,a6] |
Generators |
[8:40:1] |
Generators of the group modulo torsion |
j |
27262976/1541835 |
j-invariant |
L |
7.1815517312811 |
L(r)(E,1)/r! |
Ω |
1.3291836941335 |
Real period |
R |
0.67537239435194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999150005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119145f1 |
Quadratic twists by: 13 |