Atkin-Lehner |
2+ 3+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
31920h |
Isogeny class |
Conductor |
31920 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
140121139200 = 211 · 3 · 52 · 7 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -4 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22520,-1293168] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:10:1] |
Generators of the group modulo torsion |
j |
616762844958962/68418525 |
j-invariant |
L |
4.5041355041138 |
L(r)(E,1)/r! |
Ω |
0.38972542731115 |
Real period |
R |
1.4446502551776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15960k3 127680ez4 95760w4 |
Quadratic twists by: -4 8 -3 |