Atkin-Lehner |
2+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
21280d |
Isogeny class |
Conductor |
21280 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-122913280 = -1 · 29 · 5 · 7 · 193 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -5 5 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-126923,-17404382] |
[a1,a2,a3,a4,a6] |
Generators |
[22343442:937924588:12167] |
Generators of the group modulo torsion |
j |
-441646443250372872/240065 |
j-invariant |
L |
4.5262369692742 |
L(r)(E,1)/r! |
Ω |
0.12646911422637 |
Real period |
R |
11.929755859001 |
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 |
21280p1 42560bi1 106400bq1 |
Quadratic twists by: -4 8 5 |