Atkin-Lehner |
2- 3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
31920bb |
Isogeny class |
Conductor |
31920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1351680 |
Modular degree for the optimal curve |
Δ |
9266503680000 = 216 · 35 · 54 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-47131896,124559043696] |
[a1,a2,a3,a4,a6] |
j |
2826887369998878529467769/2262330000 |
j-invariant |
L |
1.2751174072089 |
L(r)(E,1)/r! |
Ω |
0.31877935180342 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3990j1 127680gi1 95760fj1 |
Quadratic twists by: -4 8 -3 |