Atkin-Lehner |
2- 7- 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
98294p |
Isogeny class |
Conductor |
98294 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-32096529584 = -1 · 24 · 76 · 172 · 59 |
Discriminant |
Eigenvalues |
2- 1 3 7- 4 2 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-589,10177] |
[a1,a2,a3,a4,a6] |
j |
-192100033/272816 |
j-invariant |
L |
8.4228989233465 |
L(r)(E,1)/r! |
Ω |
1.0528624181252 |
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 |
2006j1 |
Quadratic twists by: -7 |