Atkin-Lehner |
2- 3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31920z |
Isogeny class |
Conductor |
31920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-1171518543196323840 = -1 · 224 · 37 · 5 · 72 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,55384,-51851664] |
[a1,a2,a3,a4,a6] |
Generators |
[515336:16372433:512] |
Generators of the group modulo torsion |
j |
4586790226340951/286015269335040 |
j-invariant |
L |
3.8604599992352 |
L(r)(E,1)/r! |
Ω |
0.13081281031709 |
Real period |
R |
7.3778324727474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3990l1 127680gq1 95760ff1 |
Quadratic twists by: -4 8 -3 |