Atkin-Lehner |
2- 5+ 19- 79- |
Signs for the Atkin-Lehner involutions |
Class |
120080g |
Isogeny class |
Conductor |
120080 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
-584069120 = -1 · 212 · 5 · 192 · 79 |
Discriminant |
Eigenvalues |
2- 3 5+ 1 3 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2368,-44368] |
[a1,a2,a3,a4,a6] |
j |
-358516260864/142595 |
j-invariant |
L |
6.1593701321944 |
L(r)(E,1)/r! |
Ω |
0.3421872101793 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7505b1 |
Quadratic twists by: -4 |