Atkin-Lehner |
2+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
21280i |
Isogeny class |
Conductor |
21280 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
-354973552640 = -1 · 212 · 5 · 7 · 195 |
Discriminant |
Eigenvalues |
2+ 1 5- 7+ 0 0 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1905,42335] |
[a1,a2,a3,a4,a6] |
Generators |
[58:361:1] |
Generators of the group modulo torsion |
j |
-186756901696/86663465 |
j-invariant |
L |
6.3233608458726 |
L(r)(E,1)/r! |
Ω |
0.89422035523207 |
Real period |
R |
0.70713675984613 |
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 |
21280k1 42560by1 106400cc1 |
Quadratic twists by: -4 8 5 |