Atkin-Lehner |
2+ 13+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
84032f |
Isogeny class |
Conductor |
84032 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
-4089511067779072 = -1 · 223 · 136 · 101 |
Discriminant |
Eigenvalues |
2+ 2 0 -1 0 13+ -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,39967,-106399] |
[a1,a2,a3,a4,a6] |
j |
26932556234375/15600246688 |
j-invariant |
L |
2.0895763869554 |
L(r)(E,1)/r! |
Ω |
0.26119706011716 |
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 |
84032r1 2626c1 |
Quadratic twists by: -4 8 |