Atkin-Lehner |
2- 7+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
68432l |
Isogeny class |
Conductor |
68432 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-153953386496 = -1 · 214 · 7 · 134 · 47 |
Discriminant |
Eigenvalues |
2- 3 -3 7+ 3 13- 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,701,17474] |
[a1,a2,a3,a4,a6] |
j |
9300746727/37586276 |
j-invariant |
L |
5.8577841117491 |
L(r)(E,1)/r! |
Ω |
0.73222301558994 |
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 |
8554h1 |
Quadratic twists by: -4 |