Atkin-Lehner |
2+ 3+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
9840b |
Isogeny class |
Conductor |
9840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
119556000000 = 28 · 36 · 56 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 6 0 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9796,376096] |
[a1,a2,a3,a4,a6] |
Generators |
[40:216:1] |
Generators of the group modulo torsion |
j |
406138732653904/467015625 |
j-invariant |
L |
3.0815640238353 |
L(r)(E,1)/r! |
Ω |
1.0445053997745 |
Real period |
R |
1.4751307290995 |
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 |
4920g1 39360cy1 29520u1 49200w1 |
Quadratic twists by: -4 8 -3 5 |