Atkin-Lehner |
2+ 3+ 5+ 29+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
32190a |
Isogeny class |
Conductor |
32190 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
384635992320 = 28 · 32 · 5 · 293 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 6 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1948,-15152] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:148:1] |
Generators of the group modulo torsion |
j |
818161186674889/384635992320 |
j-invariant |
L |
3.7296101642542 |
L(r)(E,1)/r! |
Ω |
0.75221004798261 |
Real period |
R |
2.4791015317179 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96570w1 |
Quadratic twists by: -3 |