Atkin-Lehner |
2- 3+ 5- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
21630u |
Isogeny class |
Conductor |
21630 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-10451266043904000 = -1 · 232 · 33 · 53 · 7 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,28850,4554635] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:1783:1] |
Generators of the group modulo torsion |
j |
2655585103183034399/10451266043904000 |
j-invariant |
L |
7.6860412681178 |
L(r)(E,1)/r! |
Ω |
0.28943094095964 |
Real period |
R |
1.1064875042146 |
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 |
64890w1 108150bd1 |
Quadratic twists by: -3 5 |