Atkin-Lehner |
2- 3- 5- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
79050cl |
Isogeny class |
Conductor |
79050 |
Conductor |
∏ cp |
243 |
Product of Tamagawa factors cp |
deg |
667440 |
Modular degree for the optimal curve |
Δ |
-822436200000000 = -1 · 29 · 33 · 58 · 173 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -6 5 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-40388,-3418608] |
[a1,a2,a3,a4,a6] |
j |
-18651827586145/2105436672 |
j-invariant |
L |
4.5177156142435 |
L(r)(E,1)/r! |
Ω |
0.16732280106756 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
79050d1 |
Quadratic twists by: 5 |