Atkin-Lehner |
2+ 3- 5- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
103350ba |
Isogeny class |
Conductor |
103350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
566400 |
Modular degree for the optimal curve |
Δ |
-56506612500000 = -1 · 25 · 38 · 58 · 13 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 6 13+ 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8076,456298] |
[a1,a2,a3,a4,a6] |
j |
-149099196505/144656928 |
j-invariant |
L |
4.5754137256941 |
L(r)(E,1)/r! |
Ω |
0.57192676349361 |
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 |
103350bl1 |
Quadratic twists by: 5 |