Atkin-Lehner |
2- 5+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
24850u |
Isogeny class |
Conductor |
24850 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
19880000000000000 = 215 · 513 · 7 · 71 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 3 -1 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2234005,-1284634003] |
[a1,a2,a3,a4,a6] |
Generators |
[-865:496:1] |
Generators of the group modulo torsion |
j |
78914339560395844569/1272320000000 |
j-invariant |
L |
8.0472727294651 |
L(r)(E,1)/r! |
Ω |
0.12348919364463 |
Real period |
R |
2.172193504538 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4970a1 |
Quadratic twists by: 5 |