Atkin-Lehner |
2- 3- 5+ 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
21630v |
Isogeny class |
Conductor |
21630 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
16222500 = 22 · 32 · 54 · 7 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 0 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9386,-350784] |
[a1,a2,a3,a4,a6] |
Generators |
[730728:5749236:4913] |
Generators of the group modulo torsion |
j |
91446745433385889/16222500 |
j-invariant |
L |
8.7620009715363 |
L(r)(E,1)/r! |
Ω |
0.48504181556266 |
Real period |
R |
9.0322119561715 |
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 |
64890z1 108150o1 |
Quadratic twists by: -3 5 |