Atkin-Lehner |
2+ 13- 101- |
Signs for the Atkin-Lehner involutions |
Class |
84032l |
Isogeny class |
Conductor |
84032 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-238260089520128 = -1 · 230 · 133 · 101 |
Discriminant |
Eigenvalues |
2+ -1 -2 -2 -4 13- 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-159489,-24473855] |
[a1,a2,a3,a4,a6] |
Generators |
[961:-26624:1] |
Generators of the group modulo torsion |
j |
-1711507151858113/908890112 |
j-invariant |
L |
1.7399747119025 |
L(r)(E,1)/r! |
Ω |
0.11944633126553 |
Real period |
R |
1.213916668375 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010971 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84032u1 2626d1 |
Quadratic twists by: -4 8 |