Atkin-Lehner |
2- 3+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
94302bn |
Isogeny class |
Conductor |
94302 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
838656 |
Modular degree for the optimal curve |
Δ |
221774885856372186 = 2 · 33 · 1310 · 313 |
Discriminant |
Eigenvalues |
2- 3+ -1 -1 -2 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-219563,32531425] |
[a1,a2,a3,a4,a6] |
Generators |
[-3490:55495:8] |
Generators of the group modulo torsion |
j |
314486523/59582 |
j-invariant |
L |
9.2475074063476 |
L(r)(E,1)/r! |
Ω |
0.29906333257167 |
Real period |
R |
5.1535947895024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012449 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94302f1 94302a1 |
Quadratic twists by: -3 13 |