Atkin-Lehner |
2+ 3- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
76752l |
Isogeny class |
Conductor |
76752 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
96685415424 = 210 · 311 · 13 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -3 4 5 13+ 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1299,-10046] |
[a1,a2,a3,a4,a6] |
j |
324730948/129519 |
j-invariant |
L |
3.2923727212457 |
L(r)(E,1)/r! |
Ω |
0.82309318372107 |
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 |
38376f1 25584h1 |
Quadratic twists by: -4 -3 |