Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
21660r |
Isogeny class |
Conductor |
21660 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
30240 |
Modular degree for the optimal curve |
Δ |
1501297920 = 28 · 32 · 5 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -1 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22141,1260719] |
[a1,a2,a3,a4,a6] |
Generators |
[82:57:1] |
Generators of the group modulo torsion |
j |
35981615104/45 |
j-invariant |
L |
6.6834251674551 |
L(r)(E,1)/r! |
Ω |
1.2769220499365 |
Real period |
R |
0.87233531180015 |
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 |
86640br1 64980y1 108300g1 21660f1 |
Quadratic twists by: -4 -3 5 -19 |