Atkin-Lehner |
2+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
96800i |
Isogeny class |
Conductor |
96800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-1247178944000000 = -1 · 212 · 56 · 117 |
Discriminant |
Eigenvalues |
2+ 1 5+ 4 11- -2 -8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,8067,1678763] |
[a1,a2,a3,a4,a6] |
j |
512/11 |
j-invariant |
L |
2.9020144677663 |
L(r)(E,1)/r! |
Ω |
0.36275180290615 |
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 |
96800bu1 3872k1 8800q1 |
Quadratic twists by: -4 5 -11 |