Atkin-Lehner |
2- 3- 5- 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
21630bf |
Isogeny class |
Conductor |
21630 |
Conductor |
∏ cp |
260 |
Product of Tamagawa factors cp |
deg |
54080 |
Modular degree for the optimal curve |
Δ |
-6437238544800 = -1 · 25 · 313 · 52 · 72 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 1 2 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,3230,99812] |
[a1,a2,a3,a4,a6] |
Generators |
[194:-2932:1] |
Generators of the group modulo torsion |
j |
3726686632324319/6437238544800 |
j-invariant |
L |
9.9937127213572 |
L(r)(E,1)/r! |
Ω |
0.51514385673592 |
Real period |
R |
0.074614801512248 |
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 |
64890m1 108150i1 |
Quadratic twists by: -3 5 |