Atkin-Lehner |
2- 5- 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
117800p |
Isogeny class |
Conductor |
117800 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
137280 |
Modular degree for the optimal curve |
Δ |
-471200000000 = -1 · 211 · 58 · 19 · 31 |
Discriminant |
Eigenvalues |
2- 1 5- -2 6 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6208,189088] |
[a1,a2,a3,a4,a6] |
j |
-33079490/589 |
j-invariant |
L |
2.8087730009166 |
L(r)(E,1)/r! |
Ω |
0.93625774629176 |
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 |
117800e1 |
Quadratic twists by: 5 |