Atkin-Lehner |
2- 3+ 5- 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
21630q |
Isogeny class |
Conductor |
21630 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
149506560000 = 212 · 34 · 54 · 7 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1750,20435] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:63:1] |
Generators of the group modulo torsion |
j |
592725168252001/149506560000 |
j-invariant |
L |
6.8593498403973 |
L(r)(E,1)/r! |
Ω |
0.96408358450686 |
Real period |
R |
1.1858152050004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
64890i1 108150bp1 |
Quadratic twists by: -3 5 |