Atkin-Lehner |
2- 3+ 5+ 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
21630k |
Isogeny class |
Conductor |
21630 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-2737546875000 = -1 · 23 · 35 · 59 · 7 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 6 2 -8 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-337861,75447683] |
[a1,a2,a3,a4,a6] |
j |
-4265186067783911502289/2737546875000 |
j-invariant |
L |
2.0012868842375 |
L(r)(E,1)/r! |
Ω |
0.66709562807919 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64890bf1 108150bq1 |
Quadratic twists by: -3 5 |