Atkin-Lehner |
2- 5- 17- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
113900i |
Isogeny class |
Conductor |
113900 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-8692050700000000 = -1 · 28 · 58 · 172 · 673 |
Discriminant |
Eigenvalues |
2- 0 5- 2 -4 6 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32000,-4997500] |
[a1,a2,a3,a4,a6] |
j |
-36238786560/86920507 |
j-invariant |
L |
2.9973726120922 |
L(r)(E,1)/r! |
Ω |
0.16652067586034 |
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 |
113900a1 |
Quadratic twists by: 5 |