Atkin-Lehner |
2- 3- 7- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
118482da |
Isogeny class |
Conductor |
118482 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-3409661559193344 = -1 · 28 · 32 · 710 · 132 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,35328,-1163520] |
[a1,a2,a3,a4,a6] |
j |
41446881446543/28981645056 |
j-invariant |
L |
8.0550925194922 |
L(r)(E,1)/r! |
Ω |
0.25172165492464 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16926bb1 |
Quadratic twists by: -7 |