Atkin-Lehner |
2+ 3+ 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
24360a |
Isogeny class |
Conductor |
24360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
7892640000 = 28 · 35 · 54 · 7 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16476,-808524] |
[a1,a2,a3,a4,a6] |
Generators |
[29470:361328:125] |
Generators of the group modulo torsion |
j |
1932259519689424/30830625 |
j-invariant |
L |
3.4810235860001 |
L(r)(E,1)/r! |
Ω |
0.42139058497926 |
Real period |
R |
8.260800573348 |
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 |
48720q1 73080bo1 121800bp1 |
Quadratic twists by: -4 -3 5 |