Atkin-Lehner |
2- 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
31920bs |
Isogeny class |
Conductor |
31920 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-26486756352000 = -1 · 213 · 34 · 53 · 75 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 1 5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-139896,20094804] |
[a1,a2,a3,a4,a6] |
Generators |
[222:-168:1] |
Generators of the group modulo torsion |
j |
-73923540638379769/6466493250 |
j-invariant |
L |
7.1806483501077 |
L(r)(E,1)/r! |
Ω |
0.63851619393661 |
Real period |
R |
0.14057294901632 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3990b1 127680eo1 95760fk1 |
Quadratic twists by: -4 8 -3 |